Some Properties of Mappings on Generalized Topological Spaces

TL;DR

This paper explores various types of mappings in generalized topological spaces, providing characterizations and relationships among open, closed, pseudo-open, and quotient mappings.

Contribution

It introduces new characterizations and relationships of classical mappings extended to generalized topological spaces.

Findings

Characterizations of open, closed, pseudo-open, and quotient mappings in generalized topological spaces.

Relationships established among these classes of mappings.

Framework for understanding mappings in generalized topological spaces.

Abstract

This paper considers generalizations of open mappings, closed mappings, pseudo-open mappings, and quotient mappings from topological spaces to generalized topological spaces. Characterizations of these classes of mappings are obtained and some relationships among these classes are established.