Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational Homotopy Type of the Classifying Space for Fibrewise
  Self-Equivalences   Let p be a fibration of simply connected CW complexes with finite base B and
fibre F. Let aut_1(p) denote the identity component of the space of all
fibre-homotopy self-equivalences of p and Baut_1(p) the classifying space for
this topological monoid. We give a differential graded Lie algebra model for
Baut_1(p). We use this model to give classification results for the rational
homotopy types represented by Baut_1(p) and also to obtain conditions under
which the monoid aut_1(p) is a double loop-space after rationalization.

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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc