6533b81ffe1ef96bd127848d

RESEARCH PRODUCT

On the category Set(JCPos)

Sergey A. Solovyov

subject

SubcategoryDiscrete mathematicsLogicConcrete categoryTopological categoryClosed categoryMathematics::K-Theory and HomologyArtificial IntelligenceMathematics::Category TheoryCategoryCategory of topological spacesEnriched categoryCategory of setsMathematics

description

Category Set(JCPos) of lattice-valued subsets of sets is introduced and studied. We prove that it is topological over SetxJCPos and show its ''natural'' coalgebraic subcategory.

https://doi.org/10.1016/j.fss.2005.06.007