Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the implication $T_{0} \Rightarrow T_{3 \frac{1}{2}}$ for some
  topological protomodular algebras   The notion of a right-cancellable protomodular algebra is introduced. It is
proved that a right-cancellable topological protomodular algebra that satisfies
the separation axiom $T_{0}$ is completely regular.

19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ