Topic
Bitopological space
About: Bitopological space is a research topic. Over the lifetime, 182 publications have been published within this topic receiving 616 citations.
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TL;DR: The concepts of separation axioms, continuity, and openness of a mapping and compactness for a fuzzy bitopological space (X, τ1, τ2) are introduced and studied.
39 citations
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TL;DR: In this article, the authors continue the study of bitopological separation axioms, and introduce two concepts of pairwise Lindelof spaces and the properties for them are established.
27 citations
01 Jan 1983
TL;DR: In this article, pairwise Lindelof spaces and their relations with other topological spaces are studied and conditions by which a bitopological space will reduce to a single topology are discussed.
Abstract: In this paper we define pairwise Lindelof spaces and study their properties and their relations with other topological spaces. We also study certain conditions by which a bitopological space will reduce to a single topology. Several examples are discussed and many well known theorems are generalized concerning Lindelof spaces.
22 citations
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TL;DR: In this paper, weakly b-continuous functions in bitopological spaces were introduced as a generalization of b-Continuous functions and proved several properties of these functions.
Abstract: In this article we introduce the notion of weakly b-continuous functions in bitopological spaces as a generalization of b-continuous functions. We prove several properties of these functions. AMS Classification No : 54A10; 54C10; 54C08; 54D15.
22 citations
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01 Nov 2009TL;DR: In this paper, the pairwise almost regular-Lindelof bitopological spaces, their subspaces and subsets, and some of their char-acterizations are investigated.
Abstract: In this work, we introduce and study the pairwise almost regular-Lindelof bitopological spaces, their subspaces and subsets, and investigate some of their char- acterizations. We also show that a pairwise almost regular-Lindelof property is not a hereditary property.
19 citations