Algebrability within the class of Baire 1 functions
Abstract It is known that the sets of approximately continuous functions that are discontinuous, of Darboux Baire 1 that are not approximately continuous, and of Baire 1 functions that are not Darboux Baire 1 are strongly %$ \mathfrak{c} %$-algebrable. We show that between those classes of functions...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Lindner, Sebastian [verfasserIn] Terepeta, Małgorzata [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Lithuanian mathematical journal - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1973, 55(2015), 3 vom: Juli, Seite 393-401 |
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| Übergeordnetes Werk: |
volume:55 ; year:2015 ; number:3 ; month:07 ; pages:393-401 |
| Links: |
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| DOI / URN: |
10.1007/s10986-015-9287-7 |
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| Katalog-ID: |
SPR015373622 |
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| 520 | |a Abstract It is known that the sets of approximately continuous functions that are discontinuous, of Darboux Baire 1 that are not approximately continuous, and of Baire 1 functions that are not Darboux Baire 1 are strongly %$ \mathfrak{c} %$-algebrable. We show that between those classes of functions there are %$ \mathfrak{c} %$ many strongly %$ \mathfrak{c} %$-algebrable sets. | ||
| 650 | 4 | |a algebrability |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a strong algebrability |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Baire hierarchy |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a approximately continuous function |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a -density topology |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a -density topology |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Terepeta, Małgorzata |e verfasserin |4 aut | |
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| 856 | 4 | 0 | |u https://dx.doi.org/10.1007/s10986-015-9287-7 |z lizenzpflichtig |3 Volltext |
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10.1007/s10986-015-9287-7 doi (DE-627)SPR015373622 (SPR)s10986-015-9287-7-e DE-627 ger DE-627 rakwb eng 510 ASE 31.00 bkl Lindner, Sebastian verfasserin aut Algebrability within the class of Baire 1 functions 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract It is known that the sets of approximately continuous functions that are discontinuous, of Darboux Baire 1 that are not approximately continuous, and of Baire 1 functions that are not Darboux Baire 1 are strongly %$ \mathfrak{c} %$-algebrable. We show that between those classes of functions there are %$ \mathfrak{c} %$ many strongly %$ \mathfrak{c} %$-algebrable sets. algebrability (dpeaa)DE-He213 strong algebrability (dpeaa)DE-He213 Baire hierarchy (dpeaa)DE-He213 approximately continuous function (dpeaa)DE-He213 -density topology (dpeaa)DE-He213 -density topology (dpeaa)DE-He213 Terepeta, Małgorzata verfasserin aut Enthalten in Lithuanian mathematical journal Dordrecht [u.a.] : Springer Science + Business Media B.V, 1973 55(2015), 3 vom: Juli, Seite 393-401 (DE-627)325572291 (DE-600)2037550-5 1573-8825 nnns volume:55 year:2015 number:3 month:07 pages:393-401 https://dx.doi.org/10.1007/s10986-015-9287-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_152 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_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 31.00 ASE AR 55 2015 3 07 393-401 |
| spelling |
10.1007/s10986-015-9287-7 doi (DE-627)SPR015373622 (SPR)s10986-015-9287-7-e DE-627 ger DE-627 rakwb eng 510 ASE 31.00 bkl Lindner, Sebastian verfasserin aut Algebrability within the class of Baire 1 functions 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract It is known that the sets of approximately continuous functions that are discontinuous, of Darboux Baire 1 that are not approximately continuous, and of Baire 1 functions that are not Darboux Baire 1 are strongly %$ \mathfrak{c} %$-algebrable. We show that between those classes of functions there are %$ \mathfrak{c} %$ many strongly %$ \mathfrak{c} %$-algebrable sets. algebrability (dpeaa)DE-He213 strong algebrability (dpeaa)DE-He213 Baire hierarchy (dpeaa)DE-He213 approximately continuous function (dpeaa)DE-He213 -density topology (dpeaa)DE-He213 -density topology (dpeaa)DE-He213 Terepeta, Małgorzata verfasserin aut Enthalten in Lithuanian mathematical journal Dordrecht [u.a.] : Springer Science + Business Media B.V, 1973 55(2015), 3 vom: Juli, Seite 393-401 (DE-627)325572291 (DE-600)2037550-5 1573-8825 nnns volume:55 year:2015 number:3 month:07 pages:393-401 https://dx.doi.org/10.1007/s10986-015-9287-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_152 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_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 31.00 ASE AR 55 2015 3 07 393-401 |
| allfields_unstemmed |
10.1007/s10986-015-9287-7 doi (DE-627)SPR015373622 (SPR)s10986-015-9287-7-e DE-627 ger DE-627 rakwb eng 510 ASE 31.00 bkl Lindner, Sebastian verfasserin aut Algebrability within the class of Baire 1 functions 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract It is known that the sets of approximately continuous functions that are discontinuous, of Darboux Baire 1 that are not approximately continuous, and of Baire 1 functions that are not Darboux Baire 1 are strongly %$ \mathfrak{c} %$-algebrable. We show that between those classes of functions there are %$ \mathfrak{c} %$ many strongly %$ \mathfrak{c} %$-algebrable sets. algebrability (dpeaa)DE-He213 strong algebrability (dpeaa)DE-He213 Baire hierarchy (dpeaa)DE-He213 approximately continuous function (dpeaa)DE-He213 -density topology (dpeaa)DE-He213 -density topology (dpeaa)DE-He213 Terepeta, Małgorzata verfasserin aut Enthalten in Lithuanian mathematical journal Dordrecht [u.a.] : Springer Science + Business Media B.V, 1973 55(2015), 3 vom: Juli, Seite 393-401 (DE-627)325572291 (DE-600)2037550-5 1573-8825 nnns volume:55 year:2015 number:3 month:07 pages:393-401 https://dx.doi.org/10.1007/s10986-015-9287-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_152 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_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 31.00 ASE AR 55 2015 3 07 393-401 |
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10.1007/s10986-015-9287-7 doi (DE-627)SPR015373622 (SPR)s10986-015-9287-7-e DE-627 ger DE-627 rakwb eng 510 ASE 31.00 bkl Lindner, Sebastian verfasserin aut Algebrability within the class of Baire 1 functions 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract It is known that the sets of approximately continuous functions that are discontinuous, of Darboux Baire 1 that are not approximately continuous, and of Baire 1 functions that are not Darboux Baire 1 are strongly %$ \mathfrak{c} %$-algebrable. We show that between those classes of functions there are %$ \mathfrak{c} %$ many strongly %$ \mathfrak{c} %$-algebrable sets. algebrability (dpeaa)DE-He213 strong algebrability (dpeaa)DE-He213 Baire hierarchy (dpeaa)DE-He213 approximately continuous function (dpeaa)DE-He213 -density topology (dpeaa)DE-He213 -density topology (dpeaa)DE-He213 Terepeta, Małgorzata verfasserin aut Enthalten in Lithuanian mathematical journal Dordrecht [u.a.] : Springer Science + Business Media B.V, 1973 55(2015), 3 vom: Juli, Seite 393-401 (DE-627)325572291 (DE-600)2037550-5 1573-8825 nnns volume:55 year:2015 number:3 month:07 pages:393-401 https://dx.doi.org/10.1007/s10986-015-9287-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_152 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_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 31.00 ASE AR 55 2015 3 07 393-401 |
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10.1007/s10986-015-9287-7 doi (DE-627)SPR015373622 (SPR)s10986-015-9287-7-e DE-627 ger DE-627 rakwb eng 510 ASE 31.00 bkl Lindner, Sebastian verfasserin aut Algebrability within the class of Baire 1 functions 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract It is known that the sets of approximately continuous functions that are discontinuous, of Darboux Baire 1 that are not approximately continuous, and of Baire 1 functions that are not Darboux Baire 1 are strongly %$ \mathfrak{c} %$-algebrable. We show that between those classes of functions there are %$ \mathfrak{c} %$ many strongly %$ \mathfrak{c} %$-algebrable sets. algebrability (dpeaa)DE-He213 strong algebrability (dpeaa)DE-He213 Baire hierarchy (dpeaa)DE-He213 approximately continuous function (dpeaa)DE-He213 -density topology (dpeaa)DE-He213 -density topology (dpeaa)DE-He213 Terepeta, Małgorzata verfasserin aut Enthalten in Lithuanian mathematical journal Dordrecht [u.a.] : Springer Science + Business Media B.V, 1973 55(2015), 3 vom: Juli, Seite 393-401 (DE-627)325572291 (DE-600)2037550-5 1573-8825 nnns volume:55 year:2015 number:3 month:07 pages:393-401 https://dx.doi.org/10.1007/s10986-015-9287-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_152 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_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 31.00 ASE AR 55 2015 3 07 393-401 |
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English |
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Enthalten in Lithuanian mathematical journal 55(2015), 3 vom: Juli, Seite 393-401 volume:55 year:2015 number:3 month:07 pages:393-401 |
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Enthalten in Lithuanian mathematical journal 55(2015), 3 vom: Juli, Seite 393-401 volume:55 year:2015 number:3 month:07 pages:393-401 |
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Lindner, Sebastian @@aut@@ Terepeta, Małgorzata @@aut@@ |
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Lindner, Sebastian ddc 510 bkl 31.00 misc algebrability misc strong algebrability misc Baire hierarchy misc approximately continuous function misc -density topology Algebrability within the class of Baire 1 functions |
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510 ASE 31.00 bkl Algebrability within the class of Baire 1 functions algebrability (dpeaa)DE-He213 strong algebrability (dpeaa)DE-He213 Baire hierarchy (dpeaa)DE-He213 approximately continuous function (dpeaa)DE-He213 -density topology (dpeaa)DE-He213 |
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algebrability within the class of baire 1 functions |
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Algebrability within the class of Baire 1 functions |
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Abstract It is known that the sets of approximately continuous functions that are discontinuous, of Darboux Baire 1 that are not approximately continuous, and of Baire 1 functions that are not Darboux Baire 1 are strongly %$ \mathfrak{c} %$-algebrable. We show that between those classes of functions there are %$ \mathfrak{c} %$ many strongly %$ \mathfrak{c} %$-algebrable sets. |
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Abstract It is known that the sets of approximately continuous functions that are discontinuous, of Darboux Baire 1 that are not approximately continuous, and of Baire 1 functions that are not Darboux Baire 1 are strongly %$ \mathfrak{c} %$-algebrable. We show that between those classes of functions there are %$ \mathfrak{c} %$ many strongly %$ \mathfrak{c} %$-algebrable sets. |
| abstract_unstemmed |
Abstract It is known that the sets of approximately continuous functions that are discontinuous, of Darboux Baire 1 that are not approximately continuous, and of Baire 1 functions that are not Darboux Baire 1 are strongly %$ \mathfrak{c} %$-algebrable. We show that between those classes of functions there are %$ \mathfrak{c} %$ many strongly %$ \mathfrak{c} %$-algebrable sets. |
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