We show that every KC space (X, tau), such that tau is minimal among the KC topologies on X, must be compact (not necessarily T(2)). This solves a long-standing question, first raised by R. Larson in 1973.

Minimal KC-spaces are compact

BELLA, Angelo;
2008-01-01

Abstract

We show that every KC space (X, tau), such that tau is minimal among the KC topologies on X, must be compact (not necessarily T(2)). This solves a long-standing question, first raised by R. Larson in 1973.
2008
Cluster point; Coarser topology; Compact space; Discrete subset; KC space; Minimal KC space; Uniform ultrafilter
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/6483
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