Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform nonextendability from nets   It is shown that there exist Banach spaces $X,Y$, a $1$-net $\mathscr{N}$ of
$X$ and a Lipschitz function $f:\mathscr{N}\to Y$ such that every $F:X\to Y$
that extends $f$ is not uniformly continuous.

23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn