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

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.
Cluster point; Coarser topology; Compact space; Discrete subset; KC space; Minimal KC space; Uniform ultrafilter
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/6483
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 5
social impact