Function spaces under various operators

Kulchhum Khatun; Shyamapada Modak; Mosaddek Hossain; Sukalyan Mistry

doi:10.5269/bspm.76373

Kulchhum Khatun Department of Mathematics, University of Gour Banga
Shyamapada Modak Department of Mathematics, University of Gour Banga
Mosaddek Hossain DEPARTMENT OF MATHEMATICS, RAIGANJ UNIVERSITY
Sukalyan Mistry Department of Mathematics, Alipurduar University

Abstract

Various topologies on the function space Y^X will be determined through this paper. To do
this, application of generalized open sets will be discussed. Topological ideal is also an applicable part to determine the topologies on Y^X. Topological group and the continuous functions will be helpful to determine the topologies on Y^X (or C(X, Y )). This paper also discusses the huge changes of the topologies on Y^X by the small displacement of the generalized open sets from the space Y.

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