Concept
Propriété de relèvement des homotopies
Publications associées (5)
Cyclic $A_\infty$-algebras and cyclic homology
We provide a new description of the complex computing the Hochschild homology of an -unitary -algebra as a derived tensor product such that: (1) there is a canonical morphism from it to the complex computing the cyclic homology of that was introduced by Ko ...
2023Towards 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 ...
EPFL2017Homotopy Excision And Cellularity
Jérôme Scherer, Kay Remo Werndli
Consider a push-out diagram of spaces C B, construct the homotopy push-out, and then the homotopy pull-back of the diagram one gets by forgetting the initial object A. We compare the difference between A and this homotopy pull-back. This difference ...
Annales Inst Fourier2016Cellular Homotopy Excision
There is a classical "duality" between homotopy and homology groups in that homotopy groups are compatible with homotopy pullbacks (every homotopy pullback gives rise to a long exact sequence in homotopy), while homology groups are compatible with homotopy ...
EPFL2016