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Categories of lattice-valued sets as categories of arrows

Sergey A. Solovyov

subject

Discrete mathematicsHigher category theoryClosed categoryArtificial IntelligenceLogicMathematics::Category TheoryCategoryConcrete categoryCategory of topological spacesCategory of setsTopological category2-categoryMathematics

description

In this paper we introduce a category X(A) which is a generalization of the category of lattice-valued subsets of sets Set(JCPos) introduced by us earlier. We show the necessary and sufficient conditions for X(A) to be topological over XxA.

https://doi.org/10.1016/j.fss.2005.12.004