Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological groups, \mu-types and their stabilizers   We consider an arbitrary topological group $G$ definable in a structure
$\mathcal M$, such that some basis for the topology of $G$ consists of sets
definable in $\mathcal M$.
  To each such group $G$ we associate a compact $G$-space of partial types
$S^\mu_G(M)=\{p_\mu:p\in S_G(M)\}$ which is the quotient of the usual type
space $S_G(M)$ by the relation of two types being "infinitesimally close to
each other". In the o-minimal setting, if $p$ is a definable type then it has a
corresponding definable subgroup $Stab_\mu(p)$, which is the stabilizer of
$p_\mu$. This group is nontrivial when $p$ is unbounded in the sense of
$\mathcal M$; in fact it is a torsion-free solvable group.
  Along the way, we analyze the general construction of $S^\mu_G(M)$ and its
connection to the Samuel compactification of topological groups.

6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph