Cover Image

Cubical setting for discrete homotopy theory, revisited

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Carranza, Daniel, Kapulkin, Chris
Format:	Preprint
Published:	2022
Subjects:	Combinatorics Algebraic Topology Category Theory 05C25, 55U35 (primary), 18N40, 18N45 (secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Homotopy $n$-types of cubical sets and graphs
by: Kapulkin, Chris, et al.
Published: (2024)

Discrete homotopy hypothesis for n-types
by: Carranza, Daniel, et al.
Published: (2026)

Homotopy groups of cubical sets
by: Carranza, Daniel, et al.
Published: (2022)

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

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

Pushforwards in Inverse Homotopical Diagrams
by: Kapulkin, Chris, et al.
Published: (2025)

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

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

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

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

Uniqueness of monoidal adjunctions
by: Torii, Takeshi
Published: (2023)

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

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

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

The Hurewicz theorem for cubical homology
by: Carranza, Daniel, et al.
Published: (2022)

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

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

Equivalence of cubical and simplicial approaches to $(\infty,n)$-categories
by: Doherty, Brandon, et al.
Published: (2021)

A categorification of Quinn's finite total homotopy TQFT with application to TQFTs and once-extended TQFTs derived from strict omega-groupoids
by: Martins, João Faria, et al.
Published: (2023)

The fundamental group in discrete homotopy theory
by: Kapulkin, Chris, et al.
Published: (2023)

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

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

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

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

A 2-categorical proof of Frobenius for fibrations defined from a generic point
by: Hazratpour, Sina, et al.
Published: (2022)

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

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

Cech cohomology of partially ordered sets
by: Husainov, Ahmet A.
Published: (2023)

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

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

Homotopy Languages
by: Martínez, César Bardomiano, et al.
Published: (2025)

Fast computation of the first discrete homology group
by: Ender, Jacob, et al.
Published: (2025)

Towards fast computation of higher discrete homology
by: Ender, Jacob, et al.
Published: (2026)

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

Point-set models for homotopy coherent coalgebras
by: Petersen, Dan, et al.
Published: (2026)

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

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

Almost mathematics of pointed symmetric monoidal model categories by Smith ideal theory
by: Kato, Yuki
Published: (2023)

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

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