Cover Image

Combinatorial model categories are equivalent to presentable quasicategories

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Pavlov, Dmitri
Format:	Preprint
Published:	2021
Subjects:	Algebraic Topology Category Theory K-Theory and Homology 55U35, 18N40 (Primary) 18N60, 18N50, 18N10 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Double categorical model of $(\infty,1)$-categories
by: Guetta, Léonard, et al.
Published: (2024)

Models for rational $(\infty, 1)$-categories
by: Chatzitheodoridis, Eleftherios
Published: (2025)

Derived mapping spaces of $\infty$-categories
by: Arakawa, Kensuke, et al.
Published: (2025)

Multiplicative structures on comodules in higher categories
by: Torii, Takeshi
Published: (2025)

Generalizing quasi-categories via model structures on simplicial sets
by: Feller, Matthew
Published: (2021)

Calculus of Fractions for Quasicategories
by: Carranza, Daniel, et al.
Published: (2023)

Simplicial sets in topology, category theory, and beyond
by: Bergner, Julia E.
Published: (2024)

A modern perspective on rational homotopy theory
by: Chatzitheodoridis, Eleftherios
Published: (2025)

A new model of dg-categories
by: Bermejo, Elena Dimitriadis
Published: (2023)

Abstract Excision and $\ell^1$-Homology
by: Witzig, Johannes
Published: (2022)

Symmetry in the cubical Joyal model structure
by: Doherty, Brandon
Published: (2024)

On duoidal $\infty$-categories
by: Torii, Takeshi
Published: (2021)

Double categorical equivalences
by: Moser, Lyne, et al.
Published: (2025)

Fibrantly-transferred model structures
by: Guetta, Léonard, et al.
Published: (2023)

Cartesian Fibrations of $(\infty,2)$-categories
by: Gagna, Andrea, et al.
Published: (2021)

A homotopy coherent nerve for $(\infty,n)$-categories
by: Moser, Lyne, et al.
Published: (2022)

Culf maps and edgewise subdivision
by: Hackney, Philip, et al.
Published: (2022)

Model structures for diagrammatic $(\infty, n)$-categories
by: Chanavat, Clémence, et al.
Published: (2024)

Towards 2-derivators for formal $\infty$-category theory
by: Di Vittorio, Nicola
Published: (2023)

Map monoidales and duoidal $\infty$-categories
by: Torii, Takeshi
Published: (2024)

Diagonal Lemma for Presheaves on Eilenberg-Zilber Categories
by: Carranza, Daniel, et al.
Published: (2023)

A simple characterization of Quillen adjunctions
by: Carmona, Victor
Published: (2024)

A double $(\infty,1)$-categorical nerve for double categories
by: Moser, Lyne
Published: (2020)

Groupoidal and truncated $n$-quasi-categories
by: Brittes, Victor
Published: (2024)

Semi-strictification of $(\infty, n)$-categories
by: Chanavat, Clémence, et al.
Published: (2025)

$(\infty,n)$-Limits II: Comparison across models
by: Moser, Lyne, et al.
Published: (2024)

Cores and localizations of $(\infty,\infty)$-categories
by: Ozornova, Viktoriya, et al.
Published: (2026)

A Model Independent Universal Property for the Lax 2-Functor Classifier
by: Gloßner, Johannes
Published: (2025)

A simple model for twisted arrow $\infty$-categories
by: Torii, Takeshi
Published: (2024)

Gray products of diagrammatic $(\infty, n)$-categories
by: Chanavat, Clémence
Published: (2025)

Normed equivariant ring spectra and higher Tambara functors
by: Cnossen, Bastiaan, et al.
Published: (2024)

Diagrammatic sets as a model of homotopy types
by: Chanavat, Clémence, et al.
Published: (2024)

Classification diagrams of simplicial categories
by: Arakawa, Kensuke
Published: (2024)

Free colimit completion in $\infty$-categories
by: Rezk, Charles
Published: (2022)

Modeling $(\infty,1)$-categories with Segal spaces
by: Moser, Lyne, et al.
Published: (2024)

On the $\infty$-topos semantics of homotopy type theory
by: Riehl, Emily
Published: (2022)

A pasting theorem for iterated Segal spaces
by: Ruit, Jaco
Published: (2022)

On the squares functor and the Gaitsgory-Rozenblyum conjectures
by: Loubaton, Félix, et al.
Published: (2025)

Homotopy coherent companionships and conjunctions
by: Ruit, Jaco
Published: (2024)

Homologie polygraphique des systèmes locaux
by: Guetta, Léonard, et al.
Published: (2023)