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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.17258 |
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| _version_ | 1866917751201726464 |
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| author | Basu, Sanjib Pramanik, Abhit Chandra |
| author_facet | Basu, Sanjib Pramanik, Abhit Chandra |
| contents | If $f : X\mapsto Y$ is a function having Baire property from a metric space $X$ into a separable metric space $Y$ , then $f$ is continuous except on a set of first category. Kuratowski asked whether the condition of separability could be removed. Several attempts were done in the past to solve this problem. In fact, the first impressive attempt was initiated by Kunugi. This paper is aimed towards solving the problem of Kuratowski in category bases which generalizes the result of Kunugi. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_17258 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Kuratowski theorem revisited Basu, Sanjib Pramanik, Abhit Chandra Functional Analysis 28A05, 54A05, 54E52 If $f : X\mapsto Y$ is a function having Baire property from a metric space $X$ into a separable metric space $Y$ , then $f$ is continuous except on a set of first category. Kuratowski asked whether the condition of separability could be removed. Several attempts were done in the past to solve this problem. In fact, the first impressive attempt was initiated by Kunugi. This paper is aimed towards solving the problem of Kuratowski in category bases which generalizes the result of Kunugi. |
| title | A Kuratowski theorem revisited |
| topic | Functional Analysis 28A05, 54A05, 54E52 |
| url | https://arxiv.org/abs/2309.17258 |