Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A simplification problem in manifold theory   Two smooth manifolds M and N are called R-diffeomorphic if their product with
the real line are diffeomorphic. We consider the following simplification
problem: does R-diffeomorphism imply diffeomorphism or homeomorphism? For
compact manifolds, analysis of this problem relies on some of the main
achievements of the theory of manifolds, in particular the h- and s-cobordism
theorems in high dimensions and the spectacular more recent classification
results in dimensions 3 and 4. This paper presents what is currently known
about the subject as well as some new results about classifications of
R-diffeomorphisms.

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The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys