Cubical models of (∞,1)-categories /

Cubical models of (∞,1)-categories /

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Bibliographic Details
Author / Creator:	Doherty, Brandon, author..
Imprint:	Providence, RI : American Mathematical Society, 2024. ©2024
Description:	v, 110 pages : illustrations ; 26 cm
Language:	English
Series:	Memoirs of the American Mathematical Society ; v. 1484 Memoirs of the American Mathematical Society ; v. 1484.
Subject:	Geometry, Algebraic. Categories (Mathematics)
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/13492953

Hidden Bibliographic Details
Varying Form of Title:	Cubical models of (infinity, 1)-categories
Other authors / contributors:	Kapulkin, Krzysztof, author. Lindsey, Zachery, author. Sattler, Christian, author.
ISBN:	1470468948 9781470468941
Notes:	Includes bibliographical references (pages 109-110).
Summary:	We construct a model structure on the category of cubical sets with connections whose cofibrations are the monomorphisms and whose fibrant objects are defined by the right lifting property with respect to inner open boxes, the cubical analogue of inner horns. We show that this model structure is Quillen equivalent to the Joyal model structure on simplicial sets via the triangulation functor. As an application, we show that cubical quasicategories admit a convenient notion of a mapping space, which we use to characterize the weak equivalences between fibrant objects in our model structure as DK-equivalences.

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Call Number:	QA1.A528 no.1484
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