Extremally $T_1$-spaces and Related Spaces

Details Extremally $T_1$-spaces and Related Spaces Extremally $T_1$-spaces and Related Spaces

1998-12-07

arxiv.org/abs/math/9812037v1

Mathematics

General Topology

9 pages

Scientific paper

The aim of this paper is introduce and initiate the study of extremally
$T_1$-spaces, i.e., the spaces where all hereditarily compact $C_2$-subspaces
are closed. A $C_2$-space is a space whose nowhere dense sets are finite.

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