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Generalization of the Grothendieck's theorem. / Al'perin, Mikhail; Osipov, Alexander V.
In: Topology and its Applications, Vol. 338, 108648, 10.2023.

Research output: Contribution to journal › Article › peer-review

Harvard

Al'perin, M & Osipov, AV 2023, 'Generalization of the Grothendieck's theorem', Topology and its Applications, vol. 338, 108648. https://doi.org/10.1016/j.topol.2023.108648

APA

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

Vancouver

Al'perin M, Osipov AV. Generalization of the Grothendieck's theorem. Topology and its Applications. 2023 Oct;338:108648. doi: 10.1016/j.topol.2023.108648

Author

Al'perin, Mikhail ; Osipov, Alexander V. / Generalization of the Grothendieck's theorem. In: Topology and its Applications. 2023 ; Vol. 338.

BibTeX

@article{a754421392cc416caca85cc47fe9025b,
title = "Generalization of the Grothendieck's theorem",
abstract = "In this paper, we obtain a generalization of Grothendieck's theorem for the space of continuous mappings C & lambda;,& mu;(X, Y ) where Y is a complete uniform space with the uniformity & mu; endowed with the topology of uniform convergence on the family & lambda; 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.& COPY; 2023 Elsevier B.V. All rights reserved.",
author = "Mikhail Al'perin and Osipov, {Alexander V.}",
note = "The research of the second author was supported by the Russian Science Foundation (RSF Grant No. 23-21-00195).",
year = "2023",
month = oct,
doi = "10.1016/j.topol.2023.108648",
language = "English",
volume = "338",
journal = "Topology and its Applications",
issn = "0166-8641",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Generalization of the Grothendieck's theorem

AU - Al'perin, Mikhail

AU - Osipov, Alexander V.

N1 - The research of the second author was supported by the Russian Science Foundation (RSF Grant No. 23-21-00195).

PY - 2023/10

Y1 - 2023/10

N2 - In this paper, we obtain a generalization of Grothendieck's theorem for the space of continuous mappings C & lambda;,& mu;(X, Y ) where Y is a complete uniform space with the uniformity & mu; endowed with the topology of uniform convergence on the family & lambda; 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.& COPY; 2023 Elsevier B.V. All rights reserved.

AB - In this paper, we obtain a generalization of Grothendieck's theorem for the space of continuous mappings C & lambda;,& mu;(X, Y ) where Y is a complete uniform space with the uniformity & mu; endowed with the topology of uniform convergence on the family & lambda; 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.& COPY; 2023 Elsevier B.V. All rights reserved.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85166645999

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001052979900001

U2 - 10.1016/j.topol.2023.108648

DO - 10.1016/j.topol.2023.108648

M3 - Article

VL - 338

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

M1 - 108648

ER -

ID: 43262607