6533b85bfe1ef96bd12bb2ae

RESEARCH PRODUCT

Hypergraph functor and attachment

Sergey A. Solovyov

subject

CombinatoricsFiber functorClosed categoryFunctorArtificial IntelligenceLogicMathematics::Category TheoryConcrete categoryUniversal propertyCone (category theory)Variety (universal algebra)Topological spaceMathematics

description

Using an arbitrary variety of algebras, the paper introduces a fuzzified version of the notion of attachment in a complete lattice of Guido, to provide a common framework for the concept of hypergraph functor considered by different authors in the literature. The new notion also gives rise to a category of variable-basis topological spaces which is a proper supercategory of the respective category of Rodabaugh.

yearjournalcountryeditionlanguage
2010-11-01Fuzzy Sets and Systems
https://doi.org/10.1016/j.fss.2010.05.007