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Accessible Unlicensed Requires Authentication Published by De Gruyter February 28, 2017

Closed hereditary coreflective subcategories in epireflective subcategories of Top

Veronika Pitrová
From the journal Mathematica Slovaca

Abstract

The aim of this paper is to investigate closed hereditary coreflective subcategories in epireflective subcategories A of Top, mainly in the case that ZDATych. Particularly the closed hereditary coreflective hull of the one-point compactification of the discrete space on the set of all non-negative integers in such epireflective subcategories is studied. It is proved that under some set-theoretic assumptions it is the whole category A.

MSC 2010: Primary 18D15; 54B30

(Communicated by Sylvia Pulmannová)


Acknowledgement

I would like to thank J. Činčura for his help and lots of useful comments.

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Received: 2014-10-5
Accepted: 2015-3-23
Published Online: 2017-2-28
Published in Print: 2017-2-1

© 2017 Mathematical Institute Slovak Academy of Sciences