On Isbell's Density Theorem for bitopological pointfree spaces II

2024/09/27 by M. Andrew Moshier, Moshier, M. Andrew, Imanol Mozo Carollo +3
Decision Sciences · Mathematics · #06D22 #54B05 #54E55 #Advanced Banach Space Theory #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN)

paper · pdf · doi:10.48550/arxiv.2409.18619

openalex publication_date 2024/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

With the aim of studying subspaces in pointfree bitopology, we characterize extremal epimorphism in biframes and show that a smallest dense one always exists, providing an analogue of Isbell's Density Theorem. Further we study the functoriality of assigning to each biframe its lattice of subbilocales and its smallest dense subbilocale.

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