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Wallman Duality for Semilattice Subbases

2020/02/14 by Tristan Bice, Bice, Tristan, Wiesław Kubiś +1
Mathematics · #06A12 #06D50 #06E15 #54D10 #54D45 #54D70 #54D80 #Category Theory (math.CT) #FOS: Mathematics #General Topology (math.GN) #Rings and Algebras (math.RA) #math.CT #math.GN #math.RA #msc:06A12 #msc:06D50 #msc:06E15 #msc:54D10 #msc:54D45 #msc:54D70 #msc:54D80

paper · pdf · doi:10.48550/arxiv.2002.05943

arxiv created 2020/09/23 · arxiv updated 2020/09/24

Abstract

We extend Wallman's classic duality from lattice bases to semilattice subbases and from compact to locally closed compact spaces. Moreover, we make this duality functorial via appropriate relational morphisms.

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