On a variation of selective separability using ideals Article Swipe

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YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2511.04049

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.

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Type: preprint
Landing Page: http://arxiv.org/abs/2511.04049
PDF: https://arxiv.org/pdf/2511.04049
OA Status: green
OpenAlex ID: https://openalex.org/W4416023889

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DOI: https://doi.org/10.48550/arxiv.2511.04049

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Title: On a variation of selective separability using ideals

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Type: preprint

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Publication year: 2025

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Publication date: 2025-11-06

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Authors: Dinesh Chandra, Nur Alam, D. Roy

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Landing page: https://arxiv.org/abs/2511.04049

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PDF URL: https://arxiv.org/pdf/2511.04049

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OA status: green

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OA URL: https://arxiv.org/pdf/2511.04049

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Cited by: 0

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