P-filters and the perfect set property

DOI10.1016/J.TOPOL.2013.11.006zbMath1345.03091OpenAlexW1993848547MaRDI QIDQ388811

Shuguo Zhang, Jialiang He

Publication date: 7 January 2014

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2013.11.006

zbMATH Keywords

Ramsey ultrafilter\(\mathrm P_{\omega_2}\)-point\(\mathrm{PSP}(\Sigma^1_1)\)-ultrafilternon-meager P-filterP-point

Mathematics Subject Classification ID

Descriptive set theory (03E15) Other combinatorial set theory (03E05) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Cites Work

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• The topology of ultrafilters as subspaces of \(2^{\omega }\)
• \(P\)-filters and hereditary Baire function spaces
• Ultrafilters with property $( {s})$
• Non-meager P-filters are countable dense homogeneous

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