Embedding theorems for function spaces
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
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Embedding theorems for function spaces
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| Автор |
Al'perin, M.
Nokhrin, S. Osipov, A. V. |
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| Тематика |
EMBEDDING
FUNCTION SPACE SET-OPEN TOPOLOGY TOPOLOGICAL GROUP TOPOLOGICAL RING TOPOLOGICAL VECTOR SPACE TOPOLOGY OF UNIFORM CONVERGENCE UNIFORM SPACE |
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| Описание |
In this paper, we have proved results similar to Tychonoff's Theorem on embedding a space of functions with the topology of pointwise convergence into the Tychonoff product of topological spaces, but applied to the function space C(X,Y) of all continuous functions from a topological space X into a uniform space Y with the topology of uniform convergence on a family of subsets of X and with the (weak) set-open topology. We also investigated the following question: how the topological embedding of the space C(X,Y) is related to algebraic structures (such as topological groups, topological rings and topological vector spaces) on C(X,Y). © 2023 Elsevier B.V.
The authors would like to thank the referee for careful reading and valuable comments. |
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| Дата |
2024-04-05T16:19:11Z
2024-04-05T16:19:11Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/submittedVersion |
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| Идентификатор |
Al'perin, M, Nokhrin, S & Osipov, AV 2023, 'Embedding theorems for function spaces', Topology and its Applications, Том. 332, 108523. https://doi.org/10.1016/j.topol.2023.108523
Al'perin, M., Nokhrin, S., & Osipov, A. V. (2023). Embedding theorems for function spaces. Topology and its Applications, 332, [108523]. https://doi.org/10.1016/j.topol.2023.108523 0166-8641 Final All Open Access, Green https://www.scopus.com/inward/record.uri?eid=2-s2.0-85152299192&doi=10.1016%2fj.topol.2023.108523&partnerID=40&md5=f28d3191cd394ad776bac019bdf26803 https://arxiv.org/pdf/2112.07298 http://elar.urfu.ru/handle/10995/130378 10.1016/j.topol.2023.108523 85152299192 000983478500001 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
Elsevier B.V.
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| Источник |
Topology and its Applications
Topology and its Applications |
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