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arXiv · 0910.0814

Rigidification of quasi-categories

Daniel Dugger·David I. Spivak
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Abstract

We give a new construction for rigidifying a quasi-category into a simplicial category, and prove that it is weakly equivalent to the rigidification given by Lurie. Our construction comes from the use of necklaces, which are simplicial sets obtained by stringing simplices together. As an application of these methods, we use our model to reprove some basic facts from Lurie's "Higher Topos Theory" regarding the rigidification process.

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Daniel Dugger, David I. Spivak. 2009-10-05. Rigidification of quasi-categories. https://doi.org/10.2140/agt.2011.11.225

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