A homotopy coherent cellular nerve for bicategories
From MaRDI portal
Publication:2180894
DOI10.1016/j.aim.2020.107138zbMath1451.18038arXiv1907.01999OpenAlexW2955588677MaRDI QIDQ2180894
Publication date: 15 May 2020
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.01999
Homotopical algebra, Quillen model categories, derivators (18N40) 2-categories, bicategories, double categories (18N10) ((infty,1))-categories (quasi-categories, Segal spaces, etc.); (infty)-topoi, stable (infty)-categories (18N60) Localizations (e.g., simplicial localization, Bousfield localization) (18N55) ((infty, n))-categories and ((infty,infty))-categories (18N65) Tricategories, weak (n)-categories, coherence, semi-strictification (18N20)
Related Items
On the equivalence of all models for (∞,2)$(\infty,2)$‐categories, Nerves and cones of free loop-free \(\omega\)-categories, What is an equivalence in a higher category?, The Gray tensor product for 2-quasi-categories, Nerves of 2-categories and 2-categorification of \(( \infty ,2)\)-categories
Cites Work
- Monads with arities and their associated theories
- Mapping spaces in quasi-categories
- A cellular nerve for higher categories
- Simple omega-categories and chain complexes
- Homotopy coherent adjunctions and the formal theory of monads
- A Cartesian presentation of weak \(n\)-categories
- Nerves of bicategories as stratified simplicial sets
- Two-dimensional monad theory
- Nonstrict notions of \(n\)-category and \(n\)-groupoid via multisimplical sets
- The universal property of the multitude of trees
- A Quillen model structure for bicategories
- Homotopy invariant algebraic structures on topological spaces
- Quasi-categories and Kan complexes
- A Quillen model structure for 2-categories
- Reedy categories and the \(\varTheta\)-construction
- Nerves of 2-categories and 2-categorification of \(( \infty ,2)\)-categories
- Inner horns for 2-quasi-categories
- Iterated wreath product of the simplex category and iterated loop spaces
- 2-nerves for bicategories
- The theory and practice of Reedy categories
- Adjoint Functors
- Introduction to bicategories
- Coherence for tricategories
- On truncated quasi-categories
- On the duality between trees and disks
- A characterization of fibrant Segal categories
- Higher Quasi-Categories vs Higher Rezk Spaces
- Higher Topos Theory (AM-170)
- Universal homotopy theories
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item