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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Vydané v:	Ural mathematical journal Ročník 11; číslo 1; s. 77 - 93
Hlavní autori:	Khatun, Kulchhum, Modak, Shyamapada
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	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
Predmet:	topological group, topological ideal, function space \(y^x\)
ISSN:	2414-3952, 2414-3952
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