论文标题

Cocartesian纤维和同型

coCartesian fibrations and homotopy colimits

论文作者

Sharma, Amit

论文摘要

本文的主要目的是表明,准类别图和小类索引的同质性构造是Lurie较高的Grothendieck构造该图的定位。因此,我们概括了Thomason的经典结果,该结果指出类别图的同型具有(分类空间)类别图的Grothendieck构造的(分类空间)。

The main objective of this paper is to show that the homotopy colimit of a diagram of quasi-categories and indexed by a small category is a localization of Lurie's higher Grothendieck construction of the diagram. We thereby generalize Thomason's classical result which states that the homotopy colimit of a diagram of categories has the homotopy type of (the classifying space of) the Grothendieck construction of the diagram of categories.

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