Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cubical Acyclic Homotopy Excision   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.

21
The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an