Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Euler calculus on spaces homeomorphic to definable sets and some
  applications   We show that integration with respect to the Euler-Poincar\'e characteristic
can be extended from the setting of definable sets to the setting of
topological spaces homeomorphic to definable sets. We use that extension to
generalize a result regarding sensor networks due to Ghrist and Baryshnikov, in
order to make it more flexible in applications. Finally, we obtain both an
extension and a combinatorial proof of a classical result about the
Euler-Poincar\'e characteristic of fiber bundles.

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The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th