Extremally T₁-spaces and Related Spaces

1998/12/07 by Julian Dontchev, Dontchev, Julian, Maximilian Ganster +3
Mathematics · #54A05 #54D10 #54D30 #54G99 #FOS: Mathematics #General Topology (math.GN) #math.GN #msc:54A05 #msc:54D10 #msc:54D30 #msc:54G99

paper · pdf · doi:10.48550/arxiv.math/9812037

9 pages

arxiv created 1998/12/07 · arxiv updated 2009/11/30

Abstract

The aim of this paper is introduce and initiate the study of extremally T₁-spaces, i.e., the spaces where all hereditarily compact C₂-subspaces are closed. A C₂-space is a space whose nowhere dense sets are finite.

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