Soft Topology on Function Spaces

TL;DR

This paper introduces the pointwise topology for soft topological spaces, explores properties of soft mapping spaces, and examines their interrelationships, advancing the theoretical framework of soft topology.

Contribution

It presents a new concept of pointwise topology in soft topological spaces and studies properties and relationships of soft mapping spaces.

Findings

Defined the pointwise topology for soft topological spaces

Analyzed properties of soft mapping spaces

Explored relationships between soft mappings spaces

Abstract

Molodtsov initiated the concept of soft sets in Molodtsov D. Maji et al. defined some operations on soft sets in Maji P. K., Bismas R., Roy A. R. The concept of soft topological space was introduced by some authors. In this paper, we introduce the concept of the pointwise topology of soft topological spaces and the properties of soft mappings spaces. Finally, we investigate the relationships between some soft mappings spaces.