Compact {C}-closed spaces need not be sequential

DOI10.1007/s10474-017-0739-xzbMath1399.54058OpenAlexW2754131374MaRDI QIDQ682144

Alan Dow

Publication date: 13 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-017-0739-x

zbMATH Keywords

sequentialcountable tightnessC-closedpoint of first-countability

Mathematics Subject Classification ID

Compactness (54D30) Sequential spaces (54D55) Consistency and independence results (03E35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Applications of set theory (03E75) Consistency and independence results in general topology (54A35) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Related Items (5)

An Efimov space with character less than \(\mathfrak{s}\) ⋮ S-spaces and large continuum ⋮ Countable \(\pi\)-character, countable compactness and PFA ⋮ Pseudoradial spaces and copies of \(\omega_1 + 1\) ⋮ On Rančin's problem

Cites Work

• Minimally generated Boolean algebras
• On spaces in which countably compact sets are closed, and hereditary properties
• Forcing minimal extensions of Boolean algebras
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