WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 19, 2020
β* - and β* - Connectedness
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Abstract: In 2014 Mubarki, Al-Rshudi, and Al-Juhani introduced and studied the notion of a set in general topology called β * - open sets and investigated its fundamental properties and studied the relationships between β * - open set and other topological sets including β * - continuity in topological spaces. The objective of this paper is to introduce the new concepts called β * - compact space, countably β * - compact space, β * - Lindelof space, almost β * - compact space, mildly β * - compact space and β * - connected space in general topology and investigate several properties and characterizations of these new concepts in topological spaces.
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Keywords: Topological space, generalized open set, β * - open set, β * - compact space, countably β * - compact space, β * - Lindelof space, almost β * - compact space, mildly β * - compact space, β * - connected space.
Pages: 163-176
DOI: 10.37394/23206.2020.19.16