Generalization of the Grothendieck's theorem

Al'perin, M.; Osipov, A. V.

doi:10.1016/j.topol.2023.108648

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Поле DC	Значение	Язык
dc.contributor.author	Al'perin, M.	en
dc.contributor.author	Osipov, A. V.	en
dc.date.accessioned	2024-04-05T16:30:36Z	-
dc.date.available	2024-04-05T16:30:36Z	-
dc.date.issued	2023	-
dc.identifier.citation	Al'perin, M & Osipov, AV 2023, 'Generalization of the Grothendieck's theorem', Topology and its Applications, Том. 338, 108648. https://doi.org/10.1016/j.topol.2023.108648	harvard_pure
dc.identifier.citation	Al'perin, M., & Osipov, A. V. (2023). Generalization of the Grothendieck's theorem. Topology and its Applications, 338, [108648]. https://doi.org/10.1016/j.topol.2023.108648	apa_pure
dc.identifier.issn	0166-8641	-
dc.identifier.other	Final	2
dc.identifier.other	All Open Access, Green	3
dc.identifier.other	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85166645999&doi=10.1016%2fj.topol.2023.108648&partnerID=40&md5=d16bd366a9d5d17c5a37d70178bff242	1
dc.identifier.other	https://arxiv.org/pdf/2305.04968	pdf
dc.identifier.uri	http://elar.urfu.ru/handle/10995/130695	-
dc.description.abstract	In this paper, we obtain a generalization of Grothendieck's theorem for the space of continuous mappings Cλ,μ(X,Y) where Y is a complete uniform space with the uniformity μ endowed with the topology of uniform convergence on the family λ of subsets of X. A new topological game is defined - the Asanov-Velichko game, which makes it possible to single out a class of topological spaces of the Grothendieck type. The developed technique is used to generalize the Grothendieck's theorem for the space of continuous mappings endowed with the set-open topology. © 2023 Elsevier B.V.	en
dc.description.sponsorship	Russian Science Foundation, RSF: 23-21-00195	en
dc.description.sponsorship	The research of the second author was supported by the Russian Science Foundation (RSF Grant No. 23-21-00195 ).	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	Elsevier B.V.	en
dc.relation	info:eu-repo/grantAgreement/RSF//23-21-00195	en
dc.rights	info:eu-repo/semantics/openAccess	en
dc.source	Topology and its Applications	2
dc.source	Topology and its Applications	en
dc.subject	FUNCTION SPACE	en
dc.subject	SET-OPEN TOPOLOGY	en
dc.subject	TOPOLOGICAL GAME	en
dc.subject	TOPOLOGY OF UNIFORM CONVERGENCE	en
dc.subject	UNIFORM SPACE	en
dc.title	Generalization of the Grothendieck's theorem	en
dc.type	Article	en
dc.type	info:eu-repo/semantics/article	en
dc.type	\|info:eu-repo/semantics/submittedVersion	en
dc.identifier.doi	10.1016/j.topol.2023.108648	-
dc.identifier.scopus	85166645999	-
local.contributor.employee	Al'perin, M., Krasovskii Institute of Mathematics and Mechanics, Yekaterinburg, Russian Federation	en
local.contributor.employee	Osipov, A.V., Krasovskii Institute of Mathematics and Mechanics, Yekaterinburg, Russian Federation, Ural Federal University, Yekaterinburg, Russian Federation	en
local.volume	338	-
dc.identifier.wos	001052979900001	-
local.contributor.department	Krasovskii Institute of Mathematics and Mechanics, Yekaterinburg, Russian Federation	en
local.contributor.department	Ural Federal University, Yekaterinburg, Russian Federation	en
local.identifier.pure	43262607	-
local.description.order	108648	-
local.identifier.eid	2-s2.0-85166645999	-
local.fund.rsf	23-21-00195	-
local.identifier.wos	WOS:001052979900001	-
Располагается в коллекциях:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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