Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies
Let h be an involution with a 0 or 1-dimensional fixed point set on an orientable handlebody M. We show that obvious necessary conditions for fibering M as A×I so that h=τ×r with τ an involution of A and r reflection about the midpoint of I also turn out to be sufficient. We also show that such a pr...
Ausführliche Beschreibung
Autor*in: |
Roger B. Nelson [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
1994 |
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Schlagwörter: |
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Übergeordnetes Werk: |
In: International Journal of Mathematics and Mathematical Sciences - Hindawi Limited, 2008, 17(1994), 3, Seite 457-462 |
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Übergeordnetes Werk: |
volume:17 ; year:1994 ; number:3 ; pages:457-462 |
Links: |
Link aufrufen |
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DOI / URN: |
10.1155/S0161171294000669 |
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Katalog-ID: |
DOAJ016945476 |
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520 | |a Let h be an involution with a 0 or 1-dimensional fixed point set on an orientable handlebody M. We show that obvious necessary conditions for fibering M as A×I so that h=τ×r with τ an involution of A and r reflection about the midpoint of I also turn out to be sufficient. We also show that such a product involution is determined by its fixed point set. | ||
650 | 4 | |a orientable handlebody | |
650 | 4 | |a involution | |
650 | 4 | |a invariant disk | |
650 | 4 | |a fixed point set. | |
653 | 0 | |a Mathematics | |
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1994 |
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10.1155/S0161171294000669 doi (DE-627)DOAJ016945476 (DE-599)DOAJ9f45b5fe764f43a9a990d2691c0f60aa DE-627 ger DE-627 rakwb eng QA1-939 Roger B. Nelson verfasserin aut Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies 1994 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Let h be an involution with a 0 or 1-dimensional fixed point set on an orientable handlebody M. We show that obvious necessary conditions for fibering M as A×I so that h=τ×r with τ an involution of A and r reflection about the midpoint of I also turn out to be sufficient. We also show that such a product involution is determined by its fixed point set. orientable handlebody involution invariant disk fixed point set. Mathematics In International Journal of Mathematics and Mathematical Sciences Hindawi Limited, 2008 17(1994), 3, Seite 457-462 (DE-627)302721657 (DE-600)1492203-4 16870425 nnns volume:17 year:1994 number:3 pages:457-462 https://doi.org/10.1155/S0161171294000669 kostenfrei https://doaj.org/article/9f45b5fe764f43a9a990d2691c0f60aa kostenfrei http://dx.doi.org/10.1155/S0161171294000669 kostenfrei https://doaj.org/toc/0161-1712 Journal toc kostenfrei https://doaj.org/toc/1687-0425 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4367 GBV_ILN_4700 AR 17 1994 3 457-462 |
spelling |
10.1155/S0161171294000669 doi (DE-627)DOAJ016945476 (DE-599)DOAJ9f45b5fe764f43a9a990d2691c0f60aa DE-627 ger DE-627 rakwb eng QA1-939 Roger B. Nelson verfasserin aut Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies 1994 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Let h be an involution with a 0 or 1-dimensional fixed point set on an orientable handlebody M. We show that obvious necessary conditions for fibering M as A×I so that h=τ×r with τ an involution of A and r reflection about the midpoint of I also turn out to be sufficient. We also show that such a product involution is determined by its fixed point set. orientable handlebody involution invariant disk fixed point set. Mathematics In International Journal of Mathematics and Mathematical Sciences Hindawi Limited, 2008 17(1994), 3, Seite 457-462 (DE-627)302721657 (DE-600)1492203-4 16870425 nnns volume:17 year:1994 number:3 pages:457-462 https://doi.org/10.1155/S0161171294000669 kostenfrei https://doaj.org/article/9f45b5fe764f43a9a990d2691c0f60aa kostenfrei http://dx.doi.org/10.1155/S0161171294000669 kostenfrei https://doaj.org/toc/0161-1712 Journal toc kostenfrei https://doaj.org/toc/1687-0425 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4367 GBV_ILN_4700 AR 17 1994 3 457-462 |
allfields_unstemmed |
10.1155/S0161171294000669 doi (DE-627)DOAJ016945476 (DE-599)DOAJ9f45b5fe764f43a9a990d2691c0f60aa DE-627 ger DE-627 rakwb eng QA1-939 Roger B. Nelson verfasserin aut Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies 1994 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Let h be an involution with a 0 or 1-dimensional fixed point set on an orientable handlebody M. We show that obvious necessary conditions for fibering M as A×I so that h=τ×r with τ an involution of A and r reflection about the midpoint of I also turn out to be sufficient. We also show that such a product involution is determined by its fixed point set. orientable handlebody involution invariant disk fixed point set. Mathematics In International Journal of Mathematics and Mathematical Sciences Hindawi Limited, 2008 17(1994), 3, Seite 457-462 (DE-627)302721657 (DE-600)1492203-4 16870425 nnns volume:17 year:1994 number:3 pages:457-462 https://doi.org/10.1155/S0161171294000669 kostenfrei https://doaj.org/article/9f45b5fe764f43a9a990d2691c0f60aa kostenfrei http://dx.doi.org/10.1155/S0161171294000669 kostenfrei https://doaj.org/toc/0161-1712 Journal toc kostenfrei https://doaj.org/toc/1687-0425 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4367 GBV_ILN_4700 AR 17 1994 3 457-462 |
allfieldsGer |
10.1155/S0161171294000669 doi (DE-627)DOAJ016945476 (DE-599)DOAJ9f45b5fe764f43a9a990d2691c0f60aa DE-627 ger DE-627 rakwb eng QA1-939 Roger B. Nelson verfasserin aut Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies 1994 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Let h be an involution with a 0 or 1-dimensional fixed point set on an orientable handlebody M. We show that obvious necessary conditions for fibering M as A×I so that h=τ×r with τ an involution of A and r reflection about the midpoint of I also turn out to be sufficient. We also show that such a product involution is determined by its fixed point set. orientable handlebody involution invariant disk fixed point set. Mathematics In International Journal of Mathematics and Mathematical Sciences Hindawi Limited, 2008 17(1994), 3, Seite 457-462 (DE-627)302721657 (DE-600)1492203-4 16870425 nnns volume:17 year:1994 number:3 pages:457-462 https://doi.org/10.1155/S0161171294000669 kostenfrei https://doaj.org/article/9f45b5fe764f43a9a990d2691c0f60aa kostenfrei http://dx.doi.org/10.1155/S0161171294000669 kostenfrei https://doaj.org/toc/0161-1712 Journal toc kostenfrei https://doaj.org/toc/1687-0425 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4367 GBV_ILN_4700 AR 17 1994 3 457-462 |
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Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies |
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Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies |
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Roger B. Nelson |
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International Journal of Mathematics and Mathematical Sciences |
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International Journal of Mathematics and Mathematical Sciences |
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Roger B. Nelson |
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Elektronische Aufsätze |
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Roger B. Nelson |
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10.1155/S0161171294000669 |
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product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies |
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QA1-939 |
title_auth |
Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies |
abstract |
Let h be an involution with a 0 or 1-dimensional fixed point set on an orientable handlebody M. We show that obvious necessary conditions for fibering M as A×I so that h=τ×r with τ an involution of A and r reflection about the midpoint of I also turn out to be sufficient. We also show that such a product involution is determined by its fixed point set. |
abstractGer |
Let h be an involution with a 0 or 1-dimensional fixed point set on an orientable handlebody M. We show that obvious necessary conditions for fibering M as A×I so that h=τ×r with τ an involution of A and r reflection about the midpoint of I also turn out to be sufficient. We also show that such a product involution is determined by its fixed point set. |
abstract_unstemmed |
Let h be an involution with a 0 or 1-dimensional fixed point set on an orientable handlebody M. We show that obvious necessary conditions for fibering M as A×I so that h=τ×r with τ an involution of A and r reflection about the midpoint of I also turn out to be sufficient. We also show that such a product involution is determined by its fixed point set. |
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title_short |
Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies |
url |
https://doi.org/10.1155/S0161171294000669 https://doaj.org/article/9f45b5fe764f43a9a990d2691c0f60aa http://dx.doi.org/10.1155/S0161171294000669 https://doaj.org/toc/0161-1712 https://doaj.org/toc/1687-0425 |
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2024-07-03T23:41:36.032Z |
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