Cover Image

A homotopical Dold-Kan correspondence for Joyal's category $Θ$ and other test categories

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Hubert, Léo
Format:	Preprint
Published:	2026
Subjects:	Algebraic Topology Category Theory 18F20, 18G31, 18G90, 18N40, 55U35
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Enriched model categories and the Dold-Kan correspondence
by: Frankland, Martin, et al.
Published: (2025)

A monoidal Dold-Kan correspondence for comodules
by: Péroux, Maximilien
Published: (2021)

Homotopy limits of model categories, revisited
by: Bergner, Julia E.
Published: (2024)

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

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

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

Dwyer-Kan homotopy theory of enriched categories
by: Muro, Fernando
Published: (2012)

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

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

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

Thomason cohomology and Quillen's Theorem A
by: Kirtisoglu, Mehmet, et al.
Published: (2025)

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

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

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

$\infty$-Dold-Kan correspondence via representation theory
by: Sava, Chiara
Published: (2022)

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

A cubical model for $(\infty, n)$-categories
by: Campion, Tim, et al.
Published: (2020)

A Model Categoric Equivalence for Crossed Simplicial Modules
by: Kaya, Haydar Can, et al.
Published: (2024)

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

Cofibrantly generated model structures for functor calculus
by: Bandklayder, Lauren, et al.
Published: (2023)

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

Cartesian exponentiation and monadicity
by: Riehl, Emily, et al.
Published: (2021)

Sketchable infinity categories
by: Casacuberta, Carles, et al.
Published: (2025)

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

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

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

$k$-linear Morita theory
by: Doni, Matteo
Published: (2024)

Cofibration category of digraphs for path homology
by: Carranza, Daniel, et al.
Published: (2022)

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

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

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

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

Generation time for biexact functors and Koszul objects in triangulated categories
by: Letz, Janina C., et al.
Published: (2024)

Homotopical recognition of diagram categories
by: Chorny, Boris, et al.
Published: (2024)

A model structure on the category of A$_\infty$-categories with strict morphisms
by: Ornaghi, Mattia
Published: (2025)

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

Synthetic approach to the Quillen model structure on topological spaces
by: Ebel, Sterling, et al.
Published: (2023)

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

Formal category theory in $\infty$-equipments I
by: Ruit, Jaco
Published: (2023)

Combinatorial model categories are equivalent to presentable quasicategories
by: Pavlov, Dmitri
Published: (2021)