Comparison of models for $(\infty, n)$–categories, I
 作者： Julia E Bergner,  Charles Rezk 刊名： Geometry & Topology, 2013, Vol.17 (4), pp.2163-2202 来源数据库： Project Euclid DOI： 10.2140/gt.2013.17.2163 关键词： $(\infty; N)$–categories;  $\Theta_n$–spaces;  Enriched categories; 原始语种摘要： While many different models for ( ∞ , 1 ) –categories are currently being used, it is known that they are Quillen equivalent to one another. Several higher-order analogues of them are being developed as models for ( ∞ , n ) –categories. In this paper, we establish model structures for some naturally arising categories of objects which should be thought of as ( ∞ , n ) –categories. Furthermore, we establish Quillen equivalences between them.

• thought　思索
• establish　建立
• naturally　当然
• being
• paper
• developed　开发
• another　别的
• between　在中间
• currently　普遍地
• higher