Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the sequential closure of the set of continuous functions in the
  space of separately continuous functions   For separable metrizable spaces $X,Y$ and a metrizable topological group $Z$
by $S(X\times Y,Z)$ we denote the space of all separately continuous functions
$f:X\times Y\to Z$ endowed with the topology of layer-wise uniform convergence,
generated by the subbase consisting of the sets $[K_X\times K_Y,U]=\{f\in
S(X\times Y,Z):f(K_X\times K_Y)\subset U\}$, where $U$ is an open subset of $Z$
and $K_X\subset X$, $K_Y\subset Y$ are compact sets one of which is a
singleton. We prove that every separately continuous function $f:X\times Y\to
Z$ with zero-dimensional image $f(X\times Y)$ is a limit of a sequence of
jointly continuous functions in the topology of layer-wise uniform convergence.

7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph