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- W2054020121 abstract "Goguen's category of V-sets whose objects are functions with values in a pre-ordered set and morphisms are suitable maps is shown to be a topological construct if and only if the pre-ordered set is a complete lattice; in particular the category Set(L) of L-sets, also considered by Goguen, is topological over Set. The special case when the considered pre-ordered set is L with the “mapping to” relation arising from a structure Φ=(ϕa)a∈L, where every ϕa:L→[⊥,a] preserves arbitrary infs, already considered by the authors on any complete lattice L, is investigated in detail." @default.
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- W2054020121 date "2010-02-01" @default.
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- W2054020121 title "Structured lattices and topological categories of L-sets" @default.
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- W2054020121 doi "https://doi.org/10.1016/j.fss.2009.09.009" @default.
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