Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Small Loop Transfer Spaces with Respect to Subgroups of Fundamental
  Groups   Let $H$ be a subgroup of $\pi_{1}(X,x_{0})$. In this paper, we extend the
concept of $X$ being SLT space to $H$-SLT space at $x_0$. First, we show that
the fibers of the endpoint projection $p_{H}:\tilde{X}_{H}\rightarrow X$ are
topological group when $X$ is $H$-SLT space at $x_0$ and $H$ is a normal
subgroup. Also, we show that under these conditions the concepts of
homotopically path Hausdorff relative to $H$ and homotopically Hausdorff
relative to $H$ coincide. Moreover, among other things, we show that the
endpoint projection map $p_{H}$ has the unique path lifting property if and
only if $H$ is a closed normal subgroup of $\pi_{1}^{qtop}(X,x_{0})$ when $X$
is SLT at $x_{0}$. Second, we present conditions under which the whisker
topology is agree with the quotient of compact-open topology on
$\tilde{X}_{H}$. Also, we study the relationship between open subsets of
$\pi_{1}^{wh}(X,x_{0})$ and $\pi_{1}^{qtop}(X,x_{0})$.

37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex