ON TOPOLOGICAL J- QUOTIENT MAPS

PL. Meenakshi; K. Sivakamasundari

doi:10.56827/SEAJMMS.2023.1903.16

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

DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.16

Keywords: J- Closed, J- Continuous, JTC- space, J- Open, J- Irresolute..

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.