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On the Set Version of Selectively Star-CCC Spaces

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  • LjubiÅ¡a D. R. KoÄ inac
  • Sumit Singh
  • Ali Jaballah

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.

Suggested Citation

  • LjubiÅ¡a D. R. KoÄ inac & Sumit Singh & Ali Jaballah, 2020. "On the Set Version of Selectively Star-CCC Spaces," Journal of Mathematics, Hindawi, vol. 2020, pages 1-7, October.
    • Handle: RePEc:hin:jjmath:9274503
    DOI: 10.1155/2020/9274503
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