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
Main Authors: Kulchhum Khatun, Shyamapada Modak
Format: 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 2025-07-01
Series:Ural Mathematical Journal
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Online Access:https://umjuran.ru/index.php/umj/article/view/796
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