Concept
∞-groupoid
Related publications (5)
Homotopical relations between 2-dimensional categories and their infinity-analogues
In this thesis, we study the homotopical relations of 2-categories, double categories, and their infinity-analogues. For this, we construct homotopy theories for the objects of interest, and show that there are homotopically full embeddings of 2-categories ...
EPFL2021The Homotopy Theory Of Coalgebras Over Simplicial Comonads
Kathryn Hess Bellwald, Magdalena Kedziorek
We apply the Acyclicity Theorem of Hess, Kedziorek, Riehl, and Shipley (recently corrected by Garner, Kedziorek, and Riehl) to establishing the existence of model category structure on categories of coalgebras over comonads arising from simplicial adjuncti ...
INT PRESS BOSTON, INC2019Towards an (∞,2)-category of homotopy coherent monads in an ∞-cosmos
This thesis is part of a program initiated by Riehl and Verity to study the category theory of (infinity,1)-categories in a model-independent way. They showed that most models of (infinity,1)-categories form an infinity-cosmos K, which is essentially a cat ...
EPFL2017On The Image Of The Almost Strict Morse N-Category Under Almost Strict N-Functors
In an earlier work, we constructed the almost strict Morse n-category X which extends Cohen Sz Jones Sz Segal's flow category. In this article, we define two other almost strict n-categories V and W where V is based on homomorphisms between real vector spa ...
Mount Allison University2014Homotopic Descent over Monoidal Model Categories
The starting point for this project is the article of Kathryn Hess [11]. In this article, a homotopic version of monadic descent is developed. In the classical setting, one constructs a category D(𝕋) of coalgebras in the Eilenberg-Moore category of ...
EPFL2011