Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the continuity of separately continuous bihomomorphisms   Separately continuous bihomomorphisms on a product of convergence or
topological groups occur with great frequency. Of course, in general, these
need not be jointly continuous. In this paper, we exhibit some results of
Banach-Steinhaus type and use these to derive joint continuity from separate
continuity. The setting of convergence groups offers two advantages. First, the
continuous convergence structure is a powerful tool in many duality arguments.
Second, local compactness and first countability, the usual requirements for
joint continuity, are available in much greater abundance for convergence
groups.

27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn