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arXiv 1202.2806math.AT
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空间和Theta_n

Configurations spaces and Theta_n

David Ayala, Richard Hepworth

摘要:

我们证明了Joyal范畴Theta_n是(infinity,n)-范畴的众多定义的核心,它自然地编码了R^n中标记点的配置空间的同伦类型。这篇文章很大程度上是独立的,只使用了组合学和同伦理论中的基本技巧。

英文摘要:

We demonstrate that Joyal's category Theta_n, which is central to numerous definitions of (infinity,n)-categories, naturally encodes the homotopy type of configuration spaces of marked points in R^n. This article is largely self-contained and uses only elementary techniques in combinatorics and homotopy theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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