Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Topologized Fundamental Groups with Small Loop Transfer Viewpoints   In this paper, by introducing some kind of small loop transfer spaces at a
point, we study the behavior of topologized fundamental groups with the
compact-open topology and the whisker topology, $\pi_{1}^{qtop}(X,x_{0})$ and
$\pi_{1}^{wh}(X,x_{0})$, respectively. In particular, we give necessary or
sufficient conditions for coincidence and being topological group of these two
topologized fundamental groups. Finally, we give some examples to show that the
reverse of some of these implications do not hold, in general.

14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg