ON TOPOLOGICAL J - QUOTIENT MAPS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 28

Volume : 19 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.16
Author :
PL. Meenakshi (Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women Coimbatore - 641043, Tamil Nadu, INDIA)
K. Sivakamasundari (Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women Coimbatore - 641043, Tamil Nadu, INDIA)

Abstract

In this paper, $J$ - Quotient maps, Strongly $J$ - Quotient maps, $[J]$ - Quotient maps and Strongly $J$ - Open maps utilizing $J$ - Closed sets are introduced. The newly defined Quotient maps are analysed with various existing Quotient maps. Interrelations between $J$ - Quotient maps, Strongly $J$ - Quotient maps, $[J]$ - Quotient maps and Strongly $J$ - Open maps are investigated. Here the properties of those functions are presented.

Keywords and Phrases

$J$ - Closed, $J$ - Continuous, $JTC$ - space, $J$ - Open, $J$ - Irresolute.

A.M.S. subject classification

54A05.

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