Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A class of quotient spaces in strongly topological gyrogroups   Quotient space is a class of the most important topological spaces in the
research of topology. In this paper, we show that if G is a strongly
topological gyrogroup with a symmetric neighborhood base U at 0 and H is an
admissible subgyrogroup generated from U , then G/H is first-countable if and
only if it is metrizable. Moreover, if H is neutral and G/H is Frechet-Urysohn
with an {\omega}{\omega}-base, then G/H is first-countable. Therefore, we
obtain that if H is neutral, then G/H is metrizable if and only if G/H is
Frechet-Urysohn with an {\omega}{\omega}-base. Finally, it is shown that if H
is neutral, {\pi}\c{hi}(G/H) = \c{hi}(G/H) and {\pi}{\omega}(G/H) =
{\omega}(G/H).

11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int