# nLab (1,0)-category

By the general rules of $(n,r)$-categories, a $(1,0)$-category is an $\infty$-category such that * any $j$-morphism is an equivalence, for $j \gt 0$; * any two parallel $j$-morphisms are equivalent, for $j \gt 1$.

You can start from any notion of $\infty$-category, strict or weak; up to equivalence, the result is always the same as a groupoid.

Revised on September 15, 2009 18:57:45 by Urs Schreiber (80.187.149.88)