SOFT SOMEWHAT CONTINUOUS AND SOFT SOMEWHAT OPEN FUNCTIONS

SOFT SOMEWHAT CONTINUOUS AND SOFT SOMEWHAT OPEN FUNCTIONS

Z. A. Ameen, B. A. Asaad, T. M. Al-Shami

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Abstract

In this paper, we de ne a soft somewhat open set using the soft interior operator. We study main properties the class of soft somewhat open sets that is contained in the class soft somewhere dense sets. Then, we introduce the classes of soft somewhat continuous and soft somewhat open functions and soft somewhat homeomorphisms. Moreover, we study properties and characterizations of soft somewhat continuous and soft somewhat open functions. At last, we discuss topological invariants for soft somewhat homeomorphisms. Multiple examples are o ered to clarify some invalid results.

Keywords

soft semicontinuity, soft  -continuity, soft somewhat continuity, soft somewhat open, soft somewhere dense continuity