Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On proximal fineness of topological groups in their right uniformity   A uniform space $X$ is said to be proximally fine if every proximally
continuous map on $X$ into a uniform is uniformly continuous. We supply a proof
that every topological group which is functionnaly generated by its precompact
subsets is proximally fine with respect to its right uniformity. On the other
hand, we show that there are various permutation groups $G$ on the integers
$\mathbb N$ that are not proximally fine with respect to the
  topology generated by the sets $\{g\in G: g(A)\subset B\}$, $A,B\subset
\mathbb N$.

29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs