Comparison of models for $(\infty, n)$–categories, I
作者: Julia E BergnerCharles 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: $(\inftyN)$–categories$\Theta_n$–spacesEnriched 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.
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