On sheaves of Abelian groups and universality

Universal elements are one of the most essential parts in research fields, investigating if there exist (or not) universal elements in different classes of objects. For example, classes of spaces and frames have been studied under the prism of this universality property. In this paper, studying clas...

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Main Authors:	S.D. Iliadis, Yu. V. Sadovnichy
Format:	Article
Language:	English
Published:	Universitat Politècnica de València 2021-04-01
Series:	Applied General Topology
Subjects:	sheaves universal sheaves universal spaces containing spaces saturated classes of spaces
Online Access:	https://polipapers.upv.es/index.php/AGT/article/view/14422

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spelling	doaj-ac20ca43e2ce442da369ee79553658582021-04-01T09:58:34ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472021-04-0122114916710.4995/agt.2021.144228619On sheaves of Abelian groups and universalityS.D. Iliadis0Yu. V. Sadovnichy1Moscow State University (M.V. Lomonosov)Moscow State University (M.V. Lomonosov)Universal elements are one of the most essential parts in research fields, investigating if there exist (or not) universal elements in different classes of objects. For example, classes of spaces and frames have been studied under the prism of this universality property. In this paper, studying classes of sheaves of Abelian groups, we construct proper universal elements for these classes, giving a positive answer to the existence of such elements in these classes.https://polipapers.upv.es/index.php/AGT/article/view/14422sheavesuniversal sheavesuniversal spacescontaining spacessaturated classes of spaces
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	S.D. Iliadis Yu. V. Sadovnichy
spellingShingle	S.D. Iliadis Yu. V. Sadovnichy On sheaves of Abelian groups and universality Applied General Topology sheaves universal sheaves universal spaces containing spaces saturated classes of spaces
author_facet	S.D. Iliadis Yu. V. Sadovnichy
author_sort	S.D. Iliadis
title	On sheaves of Abelian groups and universality
title_short	On sheaves of Abelian groups and universality
title_full	On sheaves of Abelian groups and universality
title_fullStr	On sheaves of Abelian groups and universality
title_full_unstemmed	On sheaves of Abelian groups and universality
title_sort	on sheaves of abelian groups and universality
publisher	Universitat Politècnica de València
series	Applied General Topology
issn	1576-9402 1989-4147
publishDate	2021-04-01
description	Universal elements are one of the most essential parts in research fields, investigating if there exist (or not) universal elements in different classes of objects. For example, classes of spaces and frames have been studied under the prism of this universality property. In this paper, studying classes of sheaves of Abelian groups, we construct proper universal elements for these classes, giving a positive answer to the existence of such elements in these classes.
topic	sheaves universal sheaves universal spaces containing spaces saturated classes of spaces
url	https://polipapers.upv.es/index.php/AGT/article/view/14422
work_keys_str_mv	AT sdiliadis onsheavesofabeliangroupsanduniversality AT yuvsadovnichy onsheavesofabeliangroupsanduniversality
_version_	1724176180749271040

On sheaves of Abelian groups and universality

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