On the Set Version of Selectively Star-CCC Spaces

LjubiÅ¡a D. R. KoÄ Inac, Sumit Singh and Ali Jaballah

Journal of Mathematics, 2020, vol. 2020, 1-7

Abstract: A space X is said to be set selectively star-ccc if for each nonempty subset B of X, for each collection U of open sets in X such that B¯⊂∪U, and for each sequence An:n∈ℕ of maximal cellular open families in X, there is a sequence An:n∈ℕ such that, for each n∈ℕ, An∈An and B⊂St∪n∈ℕAn,U. In this paper, we introduce set selectively star-ccc spaces and investigate the relationship between set selectively star-ccc and other related spaces. We also study the topological properties of set selectively star-ccc spaces. Some open problems are posed.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9274503

DOI: 10.1155/2020/9274503

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