Separately $Fσ$-measurable functions are close to functions of the first baire class
We prove that a Borel separately $Fσ$-measurable function $f: X \times Y → R$ on the product of Polish spaces is a function of the first Baire class on the complement $X × Y \backslash M$ of a certain projectively meager set $M ⊂ X × Y$.
Gespeichert in:
| Datum: | 2004 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2004
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3778 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509911128997888 |
|---|---|
| author | Banakh, T. O. Vovk, M. I. Банах, Т. О. Вовк, М. І. |
| author_facet | Banakh, T. O. Vovk, M. I. Банах, Т. О. Вовк, М. І. |
| author_sort | Banakh, T. O. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:08:07Z |
| description | We prove that a Borel separately $Fσ$-measurable function $f: X \times Y → R$ on the product of Polish spaces is a function of the first Baire class on the complement $X × Y \backslash M$ of a certain projectively meager set $M ⊂ X × Y$. |
| first_indexed | 2026-03-24T02:48:37Z |
| format | Article |
| fulltext |
0140
0141
0142
0143
|
| id | umjimathkievua-article-3778 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:48:37Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/57/f73f42b1e0d59545e682b222771bc957.pdf |
| spelling | umjimathkievua-article-37782020-03-18T20:08:07Z Separately $Fσ$-measurable functions are close to functions of the first baire class Нарізно $Fσ$-вимірні функції є близькими до функцій 1-го класу Бера Banakh, T. O. Vovk, M. I. Банах, Т. О. Вовк, М. І. We prove that a Borel separately $Fσ$-measurable function $f: X \times Y → R$ on the product of Polish spaces is a function of the first Baire class on the complement $X × Y \backslash M$ of a certain projectively meager set $M ⊂ X × Y$. Доведено, що борелівська нарізно $Fσ$-вимірна функція $f: X \times Y → R$ на добутку польських просторів є функцією першого класу Бера па доповненні $X × Y\backslash M$ до деякої проективно худої множини $M ⊂ X × Y$. Institute of Mathematics, NAS of Ukraine 2004-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3778 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 4 (2004); 573–576 Український математичний журнал; Том 56 № 4 (2004); 573–576 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3778/4277 https://umj.imath.kiev.ua/index.php/umj/article/view/3778/4278 Copyright (c) 2004 Banakh T. O.; Vovk M. I. |
| spellingShingle | Banakh, T. O. Vovk, M. I. Банах, Т. О. Вовк, М. І. Separately $Fσ$-measurable functions are close to functions of the first baire class |
| title | Separately $Fσ$-measurable functions are close to functions of the first baire class |
| title_alt | Нарізно $Fσ$-вимірні функції є близькими до функцій 1-го класу Бера |
| title_full | Separately $Fσ$-measurable functions are close to functions of the first baire class |
| title_fullStr | Separately $Fσ$-measurable functions are close to functions of the first baire class |
| title_full_unstemmed | Separately $Fσ$-measurable functions are close to functions of the first baire class |
| title_short | Separately $Fσ$-measurable functions are close to functions of the first baire class |
| title_sort | separately $fσ$-measurable functions are close to functions of the first baire class |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3778 |
| work_keys_str_mv | AT banakhto separatelyfsmeasurablefunctionsareclosetofunctionsofthefirstbaireclass AT vovkmi separatelyfsmeasurablefunctionsareclosetofunctionsofthefirstbaireclass AT banahto separatelyfsmeasurablefunctionsareclosetofunctionsofthefirstbaireclass AT vovkmí separatelyfsmeasurablefunctionsareclosetofunctionsofthefirstbaireclass AT banakhto naríznofsvimírnífunkcííêblizʹkimidofunkcíj1goklasubera AT vovkmi naríznofsvimírnífunkcííêblizʹkimidofunkcíj1goklasubera AT banahto naríznofsvimírnífunkcííêblizʹkimidofunkcíj1goklasubera AT vovkmí naríznofsvimírnífunkcííêblizʹkimidofunkcíj1goklasubera |