Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cubical cospans and higher cobordisms (Cospans in algebraic topology,
  III)   After two papers on weak cubical categories and {\it collarable} cospans,
respectively, we put things together and construct a {\it weak} cubical
category of cubical {\it collared} cospans of topological spaces. We also build
a second structure, called a {\it quasi} cubical category, formed of arbitrary
cubical cospans concatenated by homotopy pushouts. This structure, simpler but
weaker, has {\it lax} identities. It contains a similar framework for
cobordisms of manifolds with corners and could therefore be the basis to extend
the study of TQFT's of Part II to higher cubical degree.

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The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an