An Operational Characterization of Soft Topologies by Crisp Topologies

José Alcantud ()

Mathematics, 2021, vol. 9, issue 14, 1-12

Abstract: This paper contributes to the expanding literature on soft topology. We first prove that soft topologies can be characterized by crisp topologies. This takes advantage of two connected constructions that produce soft topologies from crisp topologies and vice versa. Both constructions are explicit and amenable to mathematical manipulations. Various consequences demonstrate that our theory has far-reaching implications for the development of soft topology and its extensions.

Keywords: soft topology; topology; base for a topology; second-countable space; separability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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