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Abstract
By using m-structures m 1, m 2 on a topological space (X, τ), we define a set D(m 1,m 2) = {A: m 1 Int (A) = m 2 Int (A)} and obtain many decompositions of open sets and weak forms of open sets. Then, the decompositions provide many decompositions of continuity and weak forms of continuity.
and Fractals 42 238 – 246 10.1016/j.chaos.2008.11.009 . [6] Keskin , A. , Yuksel , S. , Noiri , T. 2004 Decompositions of -continuity and continuity Commun. Fac. Sci. Univ. Ank
Summary
The main purpose of this paper is to introduce the concepts of η-sets, ηζ-sets,η-continuity and ηζ-continuity and to obtain a decomposition of continuity.
Summary
We introduce the notions of δ-t-sets, δβ-t-sets, δ-B-continuity and δβ -B-continuity and obtain decompositions of continuity and complete continuity.
Abstract
A new class of sets in ideal topological spaces is introduced and using these sets, a decomposition of continuity is given.
Abstract
We have introduced α-I-open, semi-I-open and β-I-open sets via idealization and using these sets obtained new decompositions of continuity.
Abstract
A topological space (X, π) is said to be nearly Lindelf if every regularly open cover of (X, π) has a countable subcover. In this paper we study the effect of mappings and some decompositions of continuity on nearly Lindelf spaces. The main result is that a δ-continuous image of a nearly Lindelf space is nearly Lindelf.
Summary
We introduce the notion of a semi-I-regular set and investigate some of its properties. We show that it is weaker than the notion of a regular-I-closed set. Additionally, we also introduce the notion of an AB I -set by using the semi-I-regular set and study some of its properties. We conclude that a subset A of an ideal topological space (X,τ,I) is open if and only if it is an AB I -set and a pre-I-open set.
