# A Soft Embedding Lemma for Soft Topological Spaces

## TL;DR

This paper extends the theory of soft topological spaces by introducing soft separation axioms and a generalized embedding lemma, enhancing the mathematical framework for handling uncertainties.

## Contribution

It introduces soft separation concepts and generalizes the Embedding Lemma within soft topological spaces, advancing the theoretical foundation.

## Key findings

- Defined soft separation between points and closed sets
- Generalized the Embedding Lemma for soft topological spaces
- Provided new tools for soft space analysis

## Abstract

In 1999, Molodtsov initiated the theory of soft sets as a new mathematical tool for dealing with uncertainties in many fields of applied sciences. In 2011, Shabir and Naz introduced and studied the notion of soft topological spaces, also defining and investigating many new soft properties as generalization of the classical ones. In this paper, we introduce the notions of soft separation between soft points and soft closed sets in order to obtain a generalization of the well-known Embedding Lemma to the class of soft topological spaces.