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