Closed hereditary coreflective subcategories in epireflective subcategories of Top-Reference-Cited by-同舟云学术

Closed hereditary coreflective subcategories in epireflective subcategories of Top

Published:2017-02-01 Issue:1 Volume:67 Page:83-88
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Pitrová Veronika¹

Affiliation:

1. Department of Mathematics Faculty of Science J. E. Purkyně University České Mládeže 8 400 96 Ústí nad Labem Czech Republic

Abstract

Abstract The aim of this paper is to investigate closed hereditary coreflective subcategories in epireflective subcategories A of Top, mainly in the case that ZD ⊆ A ⊆ Tych. 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2016-0249/pdf

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