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- W4387264636 abstract "We answer questions of Arhangel'skiĭ using spaces defined from combinatorial objects. We first establish further convergence properties of a space constructed from □ ( κ ) showing it is Fréchet-Urysohn for finite sets and a w-space that is not a W-space. We also show that under additional assumptions it may be not bi-sequential, and so providing a consistent example of an absolutely Fréchet α1 space that is not bisequential. In addition, if we do not require the space being α1, we can construct a ZFC example of a countable absolutely Fréchet space that is not bisequential from an almost disjoint family of subsets of the natural numbers." @default.
- W4387264636 created "2023-10-03" @default.
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- W4387264636 date "2023-10-02" @default.
- W4387264636 modified "2023-10-03" @default.
- W4387264636 title "Strong Fréchet properties of spaces constructed from squares and AD families" @default.
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- W4387264636 doi "https://doi.org/10.4995/agt.2023.18504" @default.
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