Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological Dynamics of Closed Subgroups of $S_\infty$   For $G$ a closed subgroup of $S_{\infty}$, we provide an explicit
characterization of the greatest $G$-ambit. Using this, we provide a precise
characterization of when $G$ has metrizable universal minimal flow. In
particular, each such instance fits into the framework of metrizable flows
developed by Kechris-Pestov-Todorcevic and Nguyen Van Th\'e; as a consequence,
each $G$ with metrizable universal minimal flow has the generic point property.

19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin