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2011 Rigidification of quasi-categories
Daniel Dugger, David I Spivak
Algebr. Geom. Topol. 11(1): 225-261 (2011). DOI: 10.2140/agt.2011.11.225

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 [Annals of Math. Studies 170 (2009)] about the rigidification process.

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Daniel Dugger. David I Spivak. "Rigidification of quasi-categories." Algebr. Geom. Topol. 11 (1) 225 - 261, 2011. https://doi.org/10.2140/agt.2011.11.225

Information

Received: 22 December 2009; Revised: 9 July 2010; Accepted: 27 September 2010; Published: 2011
First available in Project Euclid: 19 December 2017

zbMATH: 1213.55015
MathSciNet: MR2764042
Digital Object Identifier: 10.2140/agt.2011.11.225

Subjects:
Primary: 55U40
Secondary: 18B99, 18G30

Rights: Copyright © 2011 Mathematical Sciences Publishers

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