Minimal \(KC\) spaces are compact

DOI10.1016/J.TOPOL.2008.04.005zbMath1145.54014OpenAlexW2018513369MaRDI QIDQ930747

Angelo Bella, Camillo Costantini

Publication date: 1 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.topol.2008.04.005

zbMATH Keywords

cluster pointuniform ultrafilterdiscrete subset\(KC\) spaceCoarser topologycompact space (not necessarily \(\text T_{2}\))minimal \(KC\) space

Mathematics Subject Classification ID

Compactness (54D30) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items (1)

On some questions about \(KC\) and related spaces

Cites Work

• Local properties and maximal Tychonof connected spaces
• A \(T_B\) space which is not Katetov \(T_B\)
• Weaker connected and weaker nowhere locally compact topologies for metrizable and similar spaces
• Neither first countable nor Cech-complete spaces are maximal Tychonoff connected
• Strengthening connected Tychonoff topologies
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