A cartesian presentation of weak $n$–categories
作者: Charles Rezk
刊名: Geometry & Topology, 2010, Vol.14 (1), pp.521-571
来源数据库: Project Euclid
DOI: 10.2140/gt.2010.14.521
关键词: $n$–categoriesComplete Segal spaces
原始语种摘要: We propose a notion of weak ( n + k , n ) –category, which we call ( n + k , n ) – Θ –spaces. The ( n + k , n ) – Θ –spaces are precisely the fibrant objects of a certain model category structure on the category of presheaves of simplicial sets on Joyal’s category Θ n . This notion is a generalization of that of complete Segal spaces (which are precisely the ( ∞ , 1 ) – Θ –spaces). Our main result is that the above model category is cartesian.
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关键词翻译
关键词翻译
  • category 
  • precisely 准确地
  • simplicial 单纯的
  • presentation 提示
  • propose 提议
  • model 模型
  • above 在上面
  • notion 概念
  • generalization 综合
  • complete 实行