On Soft Locally Path Connected Spaces

Abstract

With the presentation of a soft unit interval, the concept of a soft path connected space is rst presented in this study. This study which investigated the relationships between soft path connected spaces and soft connected spaces can be considered as the beginning of the soft homotopy theory. In this study, we aim to advance the studies on soft connectedness. For this purpose, we give the definition of a soft locally path connected space. We get some characterizations about soft locally path connectedness.