The Katowice problem and autohomeomorphisms of \(\omega_0^\ast\)

DOI10.1016/j.topol.2016.08.006zbMath1354.54023arXiv1307.3930OpenAlexW1646585223MaRDI QIDQ330070

Harm de Vries, Klaas Pieter Hart, Alan Dow, David Chodounský

Publication date: 24 October 2016

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

Full work available at URL: https://arxiv.org/abs/1307.3930

zbMATH Keywords

isomorphismhomeomorphismquotient algebra\(\mathcal{P}(\omega_0) /\mathrm{fin}\)\(\mathcal{P}(\omega_1) /\mathrm{fin}\)\(\omega_0^\ast\)\(\omega_1^\ast\)Čech-Stone remainderKatowice problemnon-trivial autohomeomorphismnon-trivial automorphism

Mathematics Subject Classification ID

Consistency and independence results (03E35) Stone spaces (Boolean spaces) and related structures (06E15) Remainders in general topology (54D40) Consistency and independence results in general topology (54A35) Other combinatorial set theory (03E05) Structure theory of Boolean algebras (06E05) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Cites Work

• Strong-Q-sequences and small \(\mathfrak d\)
• Strongs-Sequences and Variations on Martin's Axiom
• Compacts de fonctions mesurables et filtres non mesurables
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