Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Additivity for parametrized topological Euler characteristic and
  Reidemeister torsion   Dwyer, Weiss, and Williams have recently defined the notions of parametrized
topological Euler characteristic and parametrized topological Reidemeister
torsion which are invariants of bundles of compact topological manifolds. We
show that these invariants satisfy additivity formulas paralleling the additive
properties of the classical Euler characteristic and Reidemeister torsion of
finite CW-complexes.

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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: eess