3 papers
math.AT2017
Double Homotopy (Co)Limits for Relative Categories
Kay Werndli
We answer the question to what extent homotopy (co)limits in categories with weak equivalences allow for a Fubini-type interchange law. The main obstacle is that we do not assume o…
math.AT2016
Cubical Acyclic Homotopy Excision
Kay Werndli
Given a strong homotopy pushout cube of spaces A, we measure how far it is from also being a homotopy pullback cube. Explicitly, letting P be the homotopy colimit of the diagram ob…
math.AT2014
Homotopy excision and cellularity
Wojciech Chacholski, Jerome Scherer, Kay Werndli
Consider a push-out diagram of spaces C <-- A --> B, construct the homotopy push-out, and then the homotopy pull-back of the diagram one gets by forgetting the initial object A. We…