Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classifying spaces of algebras over a prop   We prove that a weak equivalence between cofibrant props induces a weak
equivalence between the associated classifying spaces of algebras. This
statement generalizes to the prop setting a homotopy invariance result which is
well known in the case of algebras over operads. The absence of model category
structure on algebras over a prop leads us to introduce new methods to overcome
this difficulty. We also explain how our result can be extended to algebras
over colored props in any symmetric monoidal model category tensored over chain
complexes.

28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th