1 Answers

In mathematics, a simplicially enriched category, is a category enriched over the category of simplicial sets. Simplicially enriched categories are often also called, more ambiguously, simplicial categories; the latter term however also applies to simplicial objects in Cat. Simplicially enriched categories can, however, be identified with simplicial objects in Cat whose object part is constant, or more precisely, whose all face and degeneracy maps are bijective on objects. Simplicially enriched categories can model -categories, but the dictionary has to be carefully built. Namely many notions, limits for example, are different from the limits in the sense of enriched category theory.

11 views

Related Questions

What is Pre-abelian category?
1 Answers 4 Views
What is Distributive category?
1 Answers 4 Views
What is Indexed category?
1 Answers 5 Views
What is Connected category?
1 Answers 4 Views
What is Fusion category?
1 Answers 4 Views
What is Rigid category?
1 Answers 4 Views
What is Well-pointed category?
1 Answers 6 Views
What is Rig category?
1 Answers 4 Views
What is Internal category?
1 Answers 4 Views