Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A controlled-topology proof of the product structure theorem   The controlled end and h-cobrodism theorems (Ends of maps I, 1979) are used
to give quick proofs of the Top/PL and PL/DIFF product structure theorems.

34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex