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Some Variants of Strong Normality in Closure Spaces Generated via Relations

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  • Ria Gupta
  • Ananga Kumar Das
  • Frédéric Mynard

Abstract

In this paper, some variants of strongly normal closure spaces obtained by using binary relation are introduced, and examples in support of existence of the variants are provided by using graphs. The relationships that exist between variants of strongly normal closure spaces and covering axioms in absence/presence of lower separation axioms are investigated. Further, closure subspaces and preservation of the properties studied under mapping are also discussed.

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  • Ria Gupta & Ananga Kumar Das & Frédéric Mynard, 2021. "Some Variants of Strong Normality in Closure Spaces Generated via Relations," Journal of Mathematics, Hindawi, vol. 2021, pages 1-7, July.
    • Handle: RePEc:hin:jjmath:6917297
    DOI: 10.1155/2021/6917297
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