Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Countable dense homogeneity of function spaces   In this paper we consider the question of when the space $C_p(X)$ of
continuous real-valued functions on $X$ with the pointwise convergence topology
is countable dense homogeneous. In particular, we focus on the case when $X$ is
countable with a unique non-isolated point $\infty$. In this case, $C_p(X)$ is
countable dense homogeneous if and only if the filter of open neighborhoods of
$\infty$ is a non-meager $P$-filter.

20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
3
The categories of this paper are: physics
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
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph