Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological rigidity for non-aspherical manifolds   The Borel Conjecture predicts that closed aspherical manifolds are
topological rigid. We want to investigate when a non-aspherical oriented
connected closed manifold M is topological rigid in the following sense. If f:
N --> M is an orientation preserving homotopy equivalence with a closed
oriented manifold as target, then there is an orientation preserving
homeomorphism h: N --> M such that h and f induce up to conjugation the same
maps on the fundamental groups. We call such manifolds Borel manifolds. We give
partial answers to this questions for S^k x S^d, for sphere bundles over
aspherical closed manifolds of dimension less or equal to 3 and for 3-manifolds
with torsionfree fundamental groups. We show that this rigidity is inherited
under connected sums in dimensions greater or equal to 5. We also classify
manifolds of dimension 5 or 6 whose fundamental group is the one of a surface
and whose second homotopy group is trivial.

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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int