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The Fσ-below relation and some new separation axioms in the category of locales

Mbekezeli Nxumalo ⟨sibahlezwide@gmail.com⟩

Abstract:

We use Fσ sublocales to define a relation on locales called the Fσ-below relation. This relation is weaker than the rather below relation. Two separation axioms, namely weakly D-completely regularity and Fσ-regularity, between perfectness and weakly subfitness are introduced using the Fσ-below relation. We discuss properties of these two locales and find their relationship with other locales such as regularity and subfitness.

Scheduled for: 2025-08-14 09:45 AM: General/ST Session #5 #4

Status: Accepted

Collection: General and Set-Theoretic Topology

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