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Wallman Duality for Semilattice Subbases

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

paper · doi:10.48550/arxiv.2002.05943

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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