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Spaces which are generated by discrete sets

Publication |
2004

Abstract

Continuing the study initiated by Dow, Tkachenko, Tkachuk and Wilson, we prove that countably compact countably tight spaces, normed linear spaces in the weak topology and function spaces over a-compact spaces are discretely generated. We also construct, using [CH], a compact pseudoradial space and a pseudocompact space of countable tightness which are not discretely generated.