Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moduli space of fibrations in the category of simplicial presheaves   We describe the moduli space of extensions in the model category of
simplicial presheaves. This article can be seen as a generalization of
Blomgren-Chacholski results in the case of simplicial sets. Our description of
the moduli space of extensions treat the equivariant and the nonequivariant
case in the same setting. As a new result, we describe the moduli space of
M-bundles over a fixed space X, when M is a simplicial monoid. Moreover, the
moduli space of M-bundles is classified by the classifying space of the
simplicial submonoid generated by homotopy invertible elements of M. We give a
general interpretation of generalized cohomology theories (connective) in terms
of classification of principle bundles. We also construct categorical model for
the classifying space BG and EG when G is a simplicial (topological) monoid
group like.

10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph