Closed hereditary coreflective subcategories in epireflective subcategories of Top

Closed hereditary coreflective subcategories in epireflective subcategories of Top AbstractThe 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematica Slovaca de Gruyter

Closed hereditary coreflective subcategories in epireflective subcategories of Top

Mathematica Slovaca, Volume 67 (1): 6 – Feb 1, 2017

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Publisher
de Gruyter
Copyright
© 2017 Mathematical Institute Slovak Academy of Sciences
ISSN
0139-9918
eISSN
1337-2211
DOI
10.1515/ms-2016-0249
Publisher site
See Article on Publisher Site

Abstract

AbstractThe 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.

Journal

Mathematica Slovacade Gruyter

Published: Feb 1, 2017

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