On Ultra Separation Axioms via αω-Open Sets
01 Jan 2018-pp 97-102
TL;DR: The concept of separation of two αω-open sets is done via ultra-αω-separation, and weak separation axioms like αô-T0 spaces and απ-T1 spaces are introduced, and its properties are studied.
Abstract: The concept of separation of two αω-open sets is done via ultra-αω-separation. Also this separation is used to define αω-kernel and αω-closure. In addition to this, weak separation axioms like αω-T0 spaces and αω-T1 spaces are introduced, and its properties are studied.
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TL;DR: This paper introduces a new class of sets namely, -closed sets and their properties and applies these sets to six new spaces namely, T, a T, sT, pT, spT and m T-spaces.
Abstract: I n this paper, we introduce a new class of sets namely, -closed sets and their properties. Applying these sets, we introduce six new spaces namely, T, a T, sT, pT, spT and m T-spaces.
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