TOPOLOGIES ON THE FUNCTION SPACE \(Y^X\) WITH VALUES IN A TOPOLOGICAL GROUP

Let \(Y^X\) denote the set of all functions from \(X\) to \(Y\). When \(Y\) is a topological space, various topologies can be defined on \(Y^X\). In this paper, we study these topologies within the framework of function spaces. To characterize different topologies and their properties, we employ gen...

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Bibliographic Details
Published in:Ural mathematical journal Vol. 11; no. 1; pp. 77 - 93
Main Authors: Khatun, Kulchhum, Modak, Shyamapada
Format: Journal Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 29.07.2025
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ISSN:2414-3952, 2414-3952
Online Access:Get full text
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