Abstract
In this paper, we introduce and study the notions of (i, j) - regular - ℐ -closed sets, (i, j) - Aℐ -sets, (i, j) - ℐ -locally closed sets, p- Aℐ -continuous functions and p- ℐ -LC-continuous functions in ideal bitopological spaces and investigate some of their properties. Also, a new decomposition of pairwise continuity is obtained using these sets.
Highlights
We introduce the notions of (i, j)-regular-I-closed sets, (i, j)-AI-sets, (i, j)-I-locally closed sets, p-AI-continuous functions and p-I
Following examples show that the notion of (i, j)-regular-Iclosedness is independent with the notions of τ i-openness and (i, j)-α-I-openness
The converses of Proposition 4.5 need not be true as seen from the following examples show
Summary
(i, j)-A-set [8] if A = U ∩ V, where U is τ i-open and V is (j, i)-regular closed, 7. A subset A of an ideal topological space (X, τ , I) is said to be 1. [14] A subset A of an ideal bitopological space (X, τ 1, τ 2, I) is said to be 1. (i, j)-pre-I-open if A ⊆ τ i-int(τ j-cl∗(A)), 2.
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