Year: 2016
Type: preprint
Abstract: 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 obtained from A by forgetting the initial vertex $A_\varnothing$, we study the homotopy fibre of the double suspension of the comparison map $A_\varnothing \to P$. This difference is expressible in terms of the homotopy fibres of the original maps in A.
Source: arXiv (Cornell University)
Author: Werndli, Kay
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2518525166