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- W3211517051 abstract "A function f:X→X determines a topology P(f)={U⊆X:f−1(U)⊆U}. A topological space (X,τ) is primal (or functional Alexandroff) if τ=P(f) for some function f, and is k-primal if τ is the supremum of a set of k primal topologies on X. Using the associated specialization quasiorder, we give necessary and sufficient conditions for a finite topological space to be k-primal. We show that the k-primal topologies on a finite set X form a lattice and discuss lattice complements." @default.
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- W3211517051 date "2022-03-01" @default.
- W3211517051 modified "2023-09-27" @default.
- W3211517051 title "k-primal spaces" @default.
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- W3211517051 doi "https://doi.org/10.1016/j.topol.2021.107907" @default.
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