Games characterizing certain families of functions
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
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| _version_ | 1866917636590272512 |
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| author | Balcerzak, Marek Natkaniec, Tomasz Szuca, Piotr |
| author_facet | Balcerzak, Marek Natkaniec, Tomasz Szuca, Piotr |
| contents | We obtain several game characterizations of Baire 1 functions between Polish spaces X, Y which extends the recent result of V. Kiss. Then we propose similar characterizations for equi-Bare 1 families of functions. Also, using related ideas, we give game characterizations of Baire measurable and Lebesgue measurable functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_05458 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Games characterizing certain families of functions Balcerzak, Marek Natkaniec, Tomasz Szuca, Piotr General Topology Logic Primary: 03E15, Secondary: 03E60, 26A21, 28A05, 54H05, 91A44 We obtain several game characterizations of Baire 1 functions between Polish spaces X, Y which extends the recent result of V. Kiss. Then we propose similar characterizations for equi-Bare 1 families of functions. Also, using related ideas, we give game characterizations of Baire measurable and Lebesgue measurable functions. |
| title | Games characterizing certain families of functions |
| topic | General Topology Logic Primary: 03E15, Secondary: 03E60, 26A21, 28A05, 54H05, 91A44 |
| url | https://arxiv.org/abs/2109.05458 |