Product of generalized quasi-uniform spaces

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Sugata Adhya
A. Deb Ray

Abstract

In this paper, we introduce product \(g\)-quasi uniformity and show that product \(g\)-quasi uniformity induces the generalized product topology. We also provide a necessary and sucient condition for a mapping into product \(g\)-quasi uniform space to be \(g\)-quasi uniformly continuous. Further, we establish the equivalence between completeness of product \(g\)-quasi uniform space and that of the component spaces.

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How to Cite
Adhya, S. ., & Ray, A. D. . (2022). Product of generalized quasi-uniform spaces. Journal of Advanced Studies in Topology, 10(1), 62–67. Retrieved from https://www.m-sciences.com/index.php/jast/article/view/262
Section
Research Articles