Classes of Baire spaces defined by semi-neighborhoods of the diagonal
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arXiv
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866916456316272640 |
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| author | Reznichenko, Evgenii |
| author_facet | Reznichenko, Evgenii |
| contents | With the help of semi-neighborhoods of the diagonal, classes of Baire spaces are defined: $Δ$, $Δ_h$ and $Δ_s$ Baire spaces. These classes of spaces are studied with the help of topological games. They are useful in studying continuity in groups: paratopological $Δ$-Baire groups, quasi-topological $Δ_h$-Baire groups, and semitopological $Δ_s$-Baire groups are topological groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_09389 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Classes of Baire spaces defined by semi-neighborhoods of the diagonal Reznichenko, Evgenii General Topology 54B10 54C30 54C05 54C20 With the help of semi-neighborhoods of the diagonal, classes of Baire spaces are defined: $Δ$, $Δ_h$ and $Δ_s$ Baire spaces. These classes of spaces are studied with the help of topological games. They are useful in studying continuity in groups: paratopological $Δ$-Baire groups, quasi-topological $Δ_h$-Baire groups, and semitopological $Δ_s$-Baire groups are topological groups. |
| title | Classes of Baire spaces defined by semi-neighborhoods of the diagonal |
| topic | General Topology 54B10 54C30 54C05 54C20 |
| url | https://arxiv.org/abs/2203.09389 |