Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extending continuous functions   We examine conditions on a (compact metrizable) space $X$ such that for any
space $Y$ and closed subspace $Z$, the set of continuous functions from $Z$ to
$X$ which extend to $Y$ is either open or closed in the set of continuous
functions from $Z$ to $X$ in the uniform topology.

21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ