On a variation of selective separability using ideals
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914140272984064 |
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| author | Chandra, Debraj Alam, Nur Roy, Dipika |
| author_facet | Chandra, Debraj Alam, Nur Roy, Dipika |
| contents | A space $X$ is H-separable (Bella et al., 2009) if for every sequence $(Y_n)$ of dense subspaces of $X$ there exists a sequence $(F_n)$ such that for each $n$ $F_n$ is a finite subset of $Y_n$ and every nonempty open set of $X$ intersects $F_n$ for all but finitely many $n$. In this paper, we introduce and study an ideal variant of H-separability, called $\mathcal{I}$-H-separability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04049 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a variation of selective separability using ideals Chandra, Debraj Alam, Nur Roy, Dipika General Topology 54D65, 54C35, 54D20, 54D99 A space $X$ is H-separable (Bella et al., 2009) if for every sequence $(Y_n)$ of dense subspaces of $X$ there exists a sequence $(F_n)$ such that for each $n$ $F_n$ is a finite subset of $Y_n$ and every nonempty open set of $X$ intersects $F_n$ for all but finitely many $n$. In this paper, we introduce and study an ideal variant of H-separability, called $\mathcal{I}$-H-separability. |
| title | On a variation of selective separability using ideals |
| topic | General Topology 54D65, 54C35, 54D20, 54D99 |
| url | https://arxiv.org/abs/2511.04049 |