Extending compact topologies to compact Hausdorff topologies in \(\mathbf {ZF}\)

DOI10.1016/j.topol.2011.02.012zbMath1231.03039OpenAlexW2015159104MaRDI QIDQ645188

Horst Herrlich, Kyriakos Keremedis

Publication date: 8 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.02.012

zbMATH Keywords

compactnessaxiom of choice

Mathematics Subject Classification ID

Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Counterexamples in general topology (54G20) Scattered spaces (54G12) Consistency and independence results in general topology (54A35) Axiom of choice and related propositions (03E25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• All uncountable cardinals can be singular
• The structure of amorphous sets
• Countable compact Hausdorff spaces need not be metrizable in ZF
• STRUCTURE AND CLASSIFICATION OF TOPOLOGICAL SPACES AND CARDINAL INVARIANTS
• Variants of the axiom of choice in set theory with atoms
• The Tychonoff product theorem implies the axiom of choice

This page was built for publication: Extending compact topologies to compact Hausdorff topologies in \(\mathbf {ZF}\)