Certain maps preserving self-homotopy equivalences
Abstract Let %$\mathcal {E}(X)%$ be the group of homotopy classes of self homotopy equivalences for a connected CW complex X. We consider two classes of maps, %$\mathcal {E}%$-maps and co-%$\mathcal {E}%$-maps. They are defined as the maps %$X\rightarrow Y%$ that induce homomorphisms %$\mathcal {E}(...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Lee, Jin-ho [verfasserIn] Yamaguchi, Toshihiro [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Journal of homotopy and related structures - Berlin : Springer, 2006, 12(2016), 3 vom: 14. Okt., Seite 691-706 |
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| Übergeordnetes Werk: |
volume:12 ; year:2016 ; number:3 ; day:14 ; month:10 ; pages:691-706 |
| Links: |
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| DOI / URN: |
10.1007/s40062-016-0144-0 |
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| Katalog-ID: |
SPR032745133 |
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| 100 | 1 | |a Lee, Jin-ho |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Certain maps preserving self-homotopy equivalences |
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| 520 | |a Abstract Let %$\mathcal {E}(X)%$ be the group of homotopy classes of self homotopy equivalences for a connected CW complex X. We consider two classes of maps, %$\mathcal {E}%$-maps and co-%$\mathcal {E}%$-maps. They are defined as the maps %$X\rightarrow Y%$ that induce homomorphisms %$\mathcal {E}(X)\rightarrow \mathcal {E}( Y)%$ and %$\mathcal {E}(Y)\rightarrow \mathcal {E}(X)%$, respectively. We give some rationalized examples related to spheres, Lie groups and homogeneous spaces by using Sullivan models. Furthermore, we introduce an %$\mathcal {E}%$-equivalence relation between rationalized spaces %$X_{{\mathbb Q}}%$ and %$Y_{{\mathbb Q}}%$ as a geometric realization of an isomorphism %$\mathcal {E}(X_{{\mathbb Q}})\cong \mathcal {E}(Y_{{\mathbb Q}})%$. | ||
| 650 | 4 | |a Self homotopy equivalence |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a -Map |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Co- |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a -map |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Rational homotopy |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Sullivan (minimal) model |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Rational |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a -map |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Rational co- |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a -map |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Rationally |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a -equivalent |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Yamaguchi, Toshihiro |e verfasserin |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Journal of homotopy and related structures |d Berlin : Springer, 2006 |g 12(2016), 3 vom: 14. Okt., Seite 691-706 |w (DE-627)630362734 |w (DE-600)2560626-8 |x 1512-2891 |7 nnns |
| 773 | 1 | 8 | |g volume:12 |g year:2016 |g number:3 |g day:14 |g month:10 |g pages:691-706 |
| 856 | 4 | 0 | |u https://dx.doi.org/10.1007/s40062-016-0144-0 |z lizenzpflichtig |3 Volltext |
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| 952 | |d 12 |j 2016 |e 3 |b 14 |c 10 |h 691-706 | ||
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10.1007/s40062-016-0144-0 doi (DE-627)SPR032745133 (DE-599)SPRs40062-016-0144-0-e (SPR)s40062-016-0144-0-e DE-627 ger DE-627 rakwb eng 510 ASE Lee, Jin-ho verfasserin aut Certain maps preserving self-homotopy equivalences 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let %$\mathcal {E}(X)%$ be the group of homotopy classes of self homotopy equivalences for a connected CW complex X. We consider two classes of maps, %$\mathcal {E}%$-maps and co-%$\mathcal {E}%$-maps. They are defined as the maps %$X\rightarrow Y%$ that induce homomorphisms %$\mathcal {E}(X)\rightarrow \mathcal {E}( Y)%$ and %$\mathcal {E}(Y)\rightarrow \mathcal {E}(X)%$, respectively. We give some rationalized examples related to spheres, Lie groups and homogeneous spaces by using Sullivan models. Furthermore, we introduce an %$\mathcal {E}%$-equivalence relation between rationalized spaces %$X_{{\mathbb Q}}%$ and %$Y_{{\mathbb Q}}%$ as a geometric realization of an isomorphism %$\mathcal {E}(X_{{\mathbb Q}})\cong \mathcal {E}(Y_{{\mathbb Q}})%$. Self homotopy equivalence (dpeaa)DE-He213 -Map (dpeaa)DE-He213 Co- (dpeaa)DE-He213 -map (dpeaa)DE-He213 Rational homotopy (dpeaa)DE-He213 Sullivan (minimal) model (dpeaa)DE-He213 Rational (dpeaa)DE-He213 -map (dpeaa)DE-He213 Rational co- (dpeaa)DE-He213 -map (dpeaa)DE-He213 Rationally (dpeaa)DE-He213 -equivalent (dpeaa)DE-He213 Yamaguchi, Toshihiro verfasserin aut Enthalten in Journal of homotopy and related structures Berlin : Springer, 2006 12(2016), 3 vom: 14. Okt., Seite 691-706 (DE-627)630362734 (DE-600)2560626-8 1512-2891 nnns volume:12 year:2016 number:3 day:14 month:10 pages:691-706 https://dx.doi.org/10.1007/s40062-016-0144-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 12 2016 3 14 10 691-706 |
| spelling |
10.1007/s40062-016-0144-0 doi (DE-627)SPR032745133 (DE-599)SPRs40062-016-0144-0-e (SPR)s40062-016-0144-0-e DE-627 ger DE-627 rakwb eng 510 ASE Lee, Jin-ho verfasserin aut Certain maps preserving self-homotopy equivalences 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let %$\mathcal {E}(X)%$ be the group of homotopy classes of self homotopy equivalences for a connected CW complex X. We consider two classes of maps, %$\mathcal {E}%$-maps and co-%$\mathcal {E}%$-maps. They are defined as the maps %$X\rightarrow Y%$ that induce homomorphisms %$\mathcal {E}(X)\rightarrow \mathcal {E}( Y)%$ and %$\mathcal {E}(Y)\rightarrow \mathcal {E}(X)%$, respectively. We give some rationalized examples related to spheres, Lie groups and homogeneous spaces by using Sullivan models. Furthermore, we introduce an %$\mathcal {E}%$-equivalence relation between rationalized spaces %$X_{{\mathbb Q}}%$ and %$Y_{{\mathbb Q}}%$ as a geometric realization of an isomorphism %$\mathcal {E}(X_{{\mathbb Q}})\cong \mathcal {E}(Y_{{\mathbb Q}})%$. Self homotopy equivalence (dpeaa)DE-He213 -Map (dpeaa)DE-He213 Co- (dpeaa)DE-He213 -map (dpeaa)DE-He213 Rational homotopy (dpeaa)DE-He213 Sullivan (minimal) model (dpeaa)DE-He213 Rational (dpeaa)DE-He213 -map (dpeaa)DE-He213 Rational co- (dpeaa)DE-He213 -map (dpeaa)DE-He213 Rationally (dpeaa)DE-He213 -equivalent (dpeaa)DE-He213 Yamaguchi, Toshihiro verfasserin aut Enthalten in Journal of homotopy and related structures Berlin : Springer, 2006 12(2016), 3 vom: 14. Okt., Seite 691-706 (DE-627)630362734 (DE-600)2560626-8 1512-2891 nnns volume:12 year:2016 number:3 day:14 month:10 pages:691-706 https://dx.doi.org/10.1007/s40062-016-0144-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 12 2016 3 14 10 691-706 |
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10.1007/s40062-016-0144-0 doi (DE-627)SPR032745133 (DE-599)SPRs40062-016-0144-0-e (SPR)s40062-016-0144-0-e DE-627 ger DE-627 rakwb eng 510 ASE Lee, Jin-ho verfasserin aut Certain maps preserving self-homotopy equivalences 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let %$\mathcal {E}(X)%$ be the group of homotopy classes of self homotopy equivalences for a connected CW complex X. We consider two classes of maps, %$\mathcal {E}%$-maps and co-%$\mathcal {E}%$-maps. They are defined as the maps %$X\rightarrow Y%$ that induce homomorphisms %$\mathcal {E}(X)\rightarrow \mathcal {E}( Y)%$ and %$\mathcal {E}(Y)\rightarrow \mathcal {E}(X)%$, respectively. We give some rationalized examples related to spheres, Lie groups and homogeneous spaces by using Sullivan models. Furthermore, we introduce an %$\mathcal {E}%$-equivalence relation between rationalized spaces %$X_{{\mathbb Q}}%$ and %$Y_{{\mathbb Q}}%$ as a geometric realization of an isomorphism %$\mathcal {E}(X_{{\mathbb Q}})\cong \mathcal {E}(Y_{{\mathbb Q}})%$. Self homotopy equivalence (dpeaa)DE-He213 -Map (dpeaa)DE-He213 Co- (dpeaa)DE-He213 -map (dpeaa)DE-He213 Rational homotopy (dpeaa)DE-He213 Sullivan (minimal) model (dpeaa)DE-He213 Rational (dpeaa)DE-He213 -map (dpeaa)DE-He213 Rational co- (dpeaa)DE-He213 -map (dpeaa)DE-He213 Rationally (dpeaa)DE-He213 -equivalent (dpeaa)DE-He213 Yamaguchi, Toshihiro verfasserin aut Enthalten in Journal of homotopy and related structures Berlin : Springer, 2006 12(2016), 3 vom: 14. Okt., Seite 691-706 (DE-627)630362734 (DE-600)2560626-8 1512-2891 nnns volume:12 year:2016 number:3 day:14 month:10 pages:691-706 https://dx.doi.org/10.1007/s40062-016-0144-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 12 2016 3 14 10 691-706 |
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10.1007/s40062-016-0144-0 doi (DE-627)SPR032745133 (DE-599)SPRs40062-016-0144-0-e (SPR)s40062-016-0144-0-e DE-627 ger DE-627 rakwb eng 510 ASE Lee, Jin-ho verfasserin aut Certain maps preserving self-homotopy equivalences 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let %$\mathcal {E}(X)%$ be the group of homotopy classes of self homotopy equivalences for a connected CW complex X. We consider two classes of maps, %$\mathcal {E}%$-maps and co-%$\mathcal {E}%$-maps. They are defined as the maps %$X\rightarrow Y%$ that induce homomorphisms %$\mathcal {E}(X)\rightarrow \mathcal {E}( Y)%$ and %$\mathcal {E}(Y)\rightarrow \mathcal {E}(X)%$, respectively. We give some rationalized examples related to spheres, Lie groups and homogeneous spaces by using Sullivan models. Furthermore, we introduce an %$\mathcal {E}%$-equivalence relation between rationalized spaces %$X_{{\mathbb Q}}%$ and %$Y_{{\mathbb Q}}%$ as a geometric realization of an isomorphism %$\mathcal {E}(X_{{\mathbb Q}})\cong \mathcal {E}(Y_{{\mathbb Q}})%$. Self homotopy equivalence (dpeaa)DE-He213 -Map (dpeaa)DE-He213 Co- (dpeaa)DE-He213 -map (dpeaa)DE-He213 Rational homotopy (dpeaa)DE-He213 Sullivan (minimal) model (dpeaa)DE-He213 Rational (dpeaa)DE-He213 -map (dpeaa)DE-He213 Rational co- (dpeaa)DE-He213 -map (dpeaa)DE-He213 Rationally (dpeaa)DE-He213 -equivalent (dpeaa)DE-He213 Yamaguchi, Toshihiro verfasserin aut Enthalten in Journal of homotopy and related structures Berlin : Springer, 2006 12(2016), 3 vom: 14. Okt., Seite 691-706 (DE-627)630362734 (DE-600)2560626-8 1512-2891 nnns volume:12 year:2016 number:3 day:14 month:10 pages:691-706 https://dx.doi.org/10.1007/s40062-016-0144-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 12 2016 3 14 10 691-706 |
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10.1007/s40062-016-0144-0 doi (DE-627)SPR032745133 (DE-599)SPRs40062-016-0144-0-e (SPR)s40062-016-0144-0-e DE-627 ger DE-627 rakwb eng 510 ASE Lee, Jin-ho verfasserin aut Certain maps preserving self-homotopy equivalences 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let %$\mathcal {E}(X)%$ be the group of homotopy classes of self homotopy equivalences for a connected CW complex X. We consider two classes of maps, %$\mathcal {E}%$-maps and co-%$\mathcal {E}%$-maps. They are defined as the maps %$X\rightarrow Y%$ that induce homomorphisms %$\mathcal {E}(X)\rightarrow \mathcal {E}( Y)%$ and %$\mathcal {E}(Y)\rightarrow \mathcal {E}(X)%$, respectively. We give some rationalized examples related to spheres, Lie groups and homogeneous spaces by using Sullivan models. Furthermore, we introduce an %$\mathcal {E}%$-equivalence relation between rationalized spaces %$X_{{\mathbb Q}}%$ and %$Y_{{\mathbb Q}}%$ as a geometric realization of an isomorphism %$\mathcal {E}(X_{{\mathbb Q}})\cong \mathcal {E}(Y_{{\mathbb Q}})%$. Self homotopy equivalence (dpeaa)DE-He213 -Map (dpeaa)DE-He213 Co- (dpeaa)DE-He213 -map (dpeaa)DE-He213 Rational homotopy (dpeaa)DE-He213 Sullivan (minimal) model (dpeaa)DE-He213 Rational (dpeaa)DE-He213 -map (dpeaa)DE-He213 Rational co- (dpeaa)DE-He213 -map (dpeaa)DE-He213 Rationally (dpeaa)DE-He213 -equivalent (dpeaa)DE-He213 Yamaguchi, Toshihiro verfasserin aut Enthalten in Journal of homotopy and related structures Berlin : Springer, 2006 12(2016), 3 vom: 14. Okt., Seite 691-706 (DE-627)630362734 (DE-600)2560626-8 1512-2891 nnns volume:12 year:2016 number:3 day:14 month:10 pages:691-706 https://dx.doi.org/10.1007/s40062-016-0144-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 12 2016 3 14 10 691-706 |
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Enthalten in Journal of homotopy and related structures 12(2016), 3 vom: 14. Okt., Seite 691-706 volume:12 year:2016 number:3 day:14 month:10 pages:691-706 |
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Enthalten in Journal of homotopy and related structures 12(2016), 3 vom: 14. Okt., Seite 691-706 volume:12 year:2016 number:3 day:14 month:10 pages:691-706 |
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Self homotopy equivalence -Map Co- -map Rational homotopy Sullivan (minimal) model Rational Rational co- Rationally -equivalent |
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Lee, Jin-ho @@aut@@ Yamaguchi, Toshihiro @@aut@@ |
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We consider two classes of maps, %$\mathcal {E}%$-maps and co-%$\mathcal {E}%$-maps. They are defined as the maps %$X\rightarrow Y%$ that induce homomorphisms %$\mathcal {E}(X)\rightarrow \mathcal {E}( Y)%$ and %$\mathcal {E}(Y)\rightarrow \mathcal {E}(X)%$, respectively. We give some rationalized examples related to spheres, Lie groups and homogeneous spaces by using Sullivan models. Furthermore, we introduce an %$\mathcal {E}%$-equivalence relation between rationalized spaces %$X_{{\mathbb Q}}%$ and %$Y_{{\mathbb Q}}%$ as a geometric realization of an isomorphism %$\mathcal {E}(X_{{\mathbb Q}})\cong \mathcal {E}(Y_{{\mathbb Q}})%$.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Self homotopy equivalence</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">-Map</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Co-</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">-map</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Rational homotopy</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Sullivan (minimal) model</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Rational</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">-map</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Rational co-</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">-map</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Rationally</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">-equivalent</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Yamaguchi, Toshihiro</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of homotopy and related structures</subfield><subfield code="d">Berlin : Springer, 2006</subfield><subfield code="g">12(2016), 3 vom: 14. 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Certain maps preserving self-homotopy equivalences |
| abstract |
Abstract Let %$\mathcal {E}(X)%$ be the group of homotopy classes of self homotopy equivalences for a connected CW complex X. We consider two classes of maps, %$\mathcal {E}%$-maps and co-%$\mathcal {E}%$-maps. They are defined as the maps %$X\rightarrow Y%$ that induce homomorphisms %$\mathcal {E}(X)\rightarrow \mathcal {E}( Y)%$ and %$\mathcal {E}(Y)\rightarrow \mathcal {E}(X)%$, respectively. We give some rationalized examples related to spheres, Lie groups and homogeneous spaces by using Sullivan models. Furthermore, we introduce an %$\mathcal {E}%$-equivalence relation between rationalized spaces %$X_{{\mathbb Q}}%$ and %$Y_{{\mathbb Q}}%$ as a geometric realization of an isomorphism %$\mathcal {E}(X_{{\mathbb Q}})\cong \mathcal {E}(Y_{{\mathbb Q}})%$. |
| abstractGer |
Abstract Let %$\mathcal {E}(X)%$ be the group of homotopy classes of self homotopy equivalences for a connected CW complex X. We consider two classes of maps, %$\mathcal {E}%$-maps and co-%$\mathcal {E}%$-maps. They are defined as the maps %$X\rightarrow Y%$ that induce homomorphisms %$\mathcal {E}(X)\rightarrow \mathcal {E}( Y)%$ and %$\mathcal {E}(Y)\rightarrow \mathcal {E}(X)%$, respectively. We give some rationalized examples related to spheres, Lie groups and homogeneous spaces by using Sullivan models. Furthermore, we introduce an %$\mathcal {E}%$-equivalence relation between rationalized spaces %$X_{{\mathbb Q}}%$ and %$Y_{{\mathbb Q}}%$ as a geometric realization of an isomorphism %$\mathcal {E}(X_{{\mathbb Q}})\cong \mathcal {E}(Y_{{\mathbb Q}})%$. |
| abstract_unstemmed |
Abstract Let %$\mathcal {E}(X)%$ be the group of homotopy classes of self homotopy equivalences for a connected CW complex X. We consider two classes of maps, %$\mathcal {E}%$-maps and co-%$\mathcal {E}%$-maps. They are defined as the maps %$X\rightarrow Y%$ that induce homomorphisms %$\mathcal {E}(X)\rightarrow \mathcal {E}( Y)%$ and %$\mathcal {E}(Y)\rightarrow \mathcal {E}(X)%$, respectively. We give some rationalized examples related to spheres, Lie groups and homogeneous spaces by using Sullivan models. Furthermore, we introduce an %$\mathcal {E}%$-equivalence relation between rationalized spaces %$X_{{\mathbb Q}}%$ and %$Y_{{\mathbb Q}}%$ as a geometric realization of an isomorphism %$\mathcal {E}(X_{{\mathbb Q}})\cong \mathcal {E}(Y_{{\mathbb Q}})%$. |
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| container_issue |
3 |
| title_short |
Certain maps preserving self-homotopy equivalences |
| url |
https://dx.doi.org/10.1007/s40062-016-0144-0 |
| remote_bool |
true |
| author2 |
Yamaguchi, Toshihiro |
| author2Str |
Yamaguchi, Toshihiro |
| ppnlink |
630362734 |
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c |
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false |
| hochschulschrift_bool |
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| doi_str |
10.1007/s40062-016-0144-0 |
| up_date |
2024-07-03T14:33:05.682Z |
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1803568740499980288 |
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| score |
7.399678 |