Seven characterizations of non-meager \mathsf P-filters

DOI10.4064/fm231-2-5zbMath1337.54028arXiv1311.1677OpenAlexW2496133613MaRDI QIDQ5259647

Andrea Medini, Lyubomyr Zdomskyy, Kenneth Kunen

Publication date: 26 June 2015

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.1677

zbMATH Keywords

filterultrafiltercompletely Bairecountable dense homogeneityP-filter

Mathematics Subject Classification ID

Consistency and independence results (03E35) Consistency and independence results in general topology (54A35) Other combinatorial set theory (03E05) Peculiar topological spaces (54G99)

Related Items (9)

A homogeneous space whose complement is rigid ⋮ Open problems on countable dense homogeneity ⋮ $\omega $-diagonalizability of $F_\sigma $ filters ⋮ P-filters and Cohen, random, and Laver forcing ⋮ Between Polish and completely Baire ⋮ Countable dense homogeneity of function spaces ⋮ TOWERS IN FILTERS, CARDINAL INVARIANTS, AND LUZIN TYPE FAMILIES ⋮ A countable dense homogeneous topological vector space is a Baire space ⋮ Non-meager free sets and independent families

Cites Work

• The topology of ultrafilters as subspaces of \(2^{\omega }\)
• Countable dense homogeneity and the Baire property
• Countable dense homogeneous filters and the Menger covering property
• Unnamed Item

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