Homotopy and Hom-Construction Based on Categorical Product of Hypergraphs
A Hom-construction associated to the categorical product of hypergraphs is introduced.It's shown that the categorical product operation interacts well with corresponding Hom-constructions.Then the relations between Hom-construction and the homotopy of hypergraph homomorphisms defined by Shing-Tung Yau et al are studied.A necessary condition of the homotopy of hypergraph homomorphisms from the view of topology is provided.
topological homotopyHom-constructionhomotopy of hypergraph homomorphismscategorical product of hypergraphsstrong deformation retract
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