Title of article :
Minimal KC spaces are compact
Author/Authors :
Bella، نويسنده , , Angelo and Costantini، نويسنده , , Camillo، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2008
Abstract :
We show that every KC space ( X , τ ) , such that τ is minimal among the KC topologies on X, must be compact (not necessarily T2). This solves a long-standing question, first raised by R. Larson in 1973.
Keywords :
KC space , Uniform ultrafilter , Discrete subset , Minimal KC space , Cluster point , Compact space (not necessarily T2) , Coarser topology
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications
