Soft Somewhat Continuous and Soft Somewhat Open Functions

Zanyar A. Ameen; Baravan A. Asaad; Tareq M. Al-shami

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arXiv · 2112.15201

Soft Somewhat Continuous and Soft Somewhat Open Functions

Zanyar A. Ameen·Baravan A. Asaad·Tareq M. Al-shami

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Abstract

In this paper, we define 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 offered to clarify some invalid results.

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BibTeX RIS

Zanyar A. Ameen, Baravan A. Asaad, Tareq M. Al-shami. 2021-12-30. Soft Somewhat Continuous and Soft Somewhat Open Functions. https://arxiv.org/abs/2112.15201

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