期刊
JOURNAL OF PURE AND APPLIED ALGEBRA
卷 175, 期 1-3, 页码 207-222出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/S0022-4049(02)00135-4
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A quasi-category X is a simplicial set satisfying the restricted Kan conditions of Boardman and Vogt. It has an associated homotopy category hoX. We show that X is a Kan complex iff hoX is a groupoid. The result plays an important role in the theory of quasi-categories (in preparation). Here we make an application to the theory of initial objects in quasi-categories. We briefly discuss the notions of limits and colimits in quasi-categories. (C) 2002 Published by Elsevier Science B.V.
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