Cubical Acyclic Homotopy Excision

Kay Werndli

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arXiv · 1608.08037

Cubical Acyclic Homotopy Excision

Kay Werndli

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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.

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Kay Werndli. 2016-08-29. Cubical Acyclic Homotopy Excision. https://arxiv.org/abs/1608.08037

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