Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Baire category properties of function spaces $C_k'(X,Y)$   We prove that for a stratifiable scattered space $X$ of finite scattered
height, the function space $C_k(X)$ endowed with the compact-open topology is
Baire if and only if $X$ has the Moving Off Property of Gruenhage and Ma. As a
byproduct of the proof we establish many interesting Baire category properties
of the function spaces $C_k'(X,Y)=\{f\in C_k(X,Y):f(X')\subset\{*_Y\}\}$, where
$X$ is a topological space, $X'$ is the set of non-isolated points of $X$, and
$Y$ is a topological space with a distinguished point $*_Y$.

37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat