Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Banach-Alaoglu theorem is equivalent to the Tychonoff theorem for
  compact Hausdorff spaces   In this brief note we provide a simple approach to give a new proof of the
well known fact that the Banach-Alaoglu theorem and the Tychonoff product
theorem for compact Hausdorff spaces are equivalent.

34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat