nLab
simplicially enriched category

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Definition

A simplicially enriched category is a category enriched over the cartesian monoidal category of simplicial sets.

These enriched categories are sometimes, somewhat imprecisely, called just simplicial categories.

Remarks

Simplicial groupoids

There is a related notion of simplicial groupoid with the added requirement that all arrows in the categories concerned are isomorphisms.

Revised on February 6, 2010 20:50:01 by Toby Bartels (173.60.119.197)
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