Extremally $T_1$-spaces and Related Spaces

Julian Dontchev; Maximilian Ganster; Laszlo Zsilinszky

Extremally $T_1$-spaces and Related Spaces

General Topology 2007-05-23 v1

Authors: Julian Dontchev , Maximilian Ganster , Laszlo Zsilinszky

Abstract

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.

Keywords

topological spaces general topology topological properties

Cite

@article{arxiv.math/9812037,
  title  = {Extremally $T_1$-spaces and Related Spaces},
  author = {Julian Dontchev and Maximilian Ganster and Laszlo Zsilinszky},
  journal= {arXiv preprint arXiv:math/9812037},
  year   = {2007}
}

Comments

9 pages

Extremally $T_1$-spaces and Related Spaces

Abstract

Keywords

Cite

Comments

Related papers