Homeomorphism and Quotient Mappings in Infrasoft Topological Spaces | Zendy

Tareq M. Al-shami | Zendy

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Homeomorphism and Quotient Mappings in Infrasoft Topological Spaces

Author(s) -

Tareq M. Al-shami

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/3388288

Subject(s) - homeomorphism (graph theory) , quotient , topology (electrical circuits) , initial topology , topological space , mathematics , general topology , pure mathematics , discrete mathematics , extension topology , combinatorics

In this paper, we contribute to infrasoft topology which is one of the recent generalizations of soft topology. Firstly, we redefine the concept of soft mappings to be convenient for studying the topological concepts and notions in different soft structures. Then, we introduce the concepts of open, closed, and homeomorphism mappings in the content of infrasoft topology. We establish main properties and investigate the transmission of these concepts between infrasoft topology and its parametric infratopologies. Finally, we define a quotient infrasoft topology and infrasoft quotient mappings and study their main properties with the aid of illustrative examples.

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