$κ$-Borel sets, $κ$-Baire spaces, and filtrations between topologies
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911955086737408 |
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| author | Solecki, Sławomir |
| author_facet | Solecki, Sławomir |
| contents | Filtrations are certain transfinite sequences of topologies increasing in strength and interpolating between two given topologies $σ$ and $τ$, with $τ$ being stronger than $σ$. We prove general results on stabilization at $τ$ of filtrations interpolating between $σ$ and $τ$. These topological results involve an interplay between $κ$-Borel sets with respect to the topology $σ$ and $κ$-Baireness of the topology $τ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10130 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $κ$-Borel sets, $κ$-Baire spaces, and filtrations between topologies Solecki, Sławomir General Topology Logic 03E15, 54H05 Filtrations are certain transfinite sequences of topologies increasing in strength and interpolating between two given topologies $σ$ and $τ$, with $τ$ being stronger than $σ$. We prove general results on stabilization at $τ$ of filtrations interpolating between $σ$ and $τ$. These topological results involve an interplay between $κ$-Borel sets with respect to the topology $σ$ and $κ$-Baireness of the topology $τ$. |
| title | $κ$-Borel sets, $κ$-Baire spaces, and filtrations between topologies |
| topic | General Topology Logic 03E15, 54H05 |
| url | https://arxiv.org/abs/2407.10130 |