Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On separators of the space of complete non-negatively curved metrics on
  the plane   We shall prove that the Hilbert cube cannot be separated by a weakly infinite
dimensional subset. As a corollary we obtain that the complement of a weakly
infinite dimensional subset of the space of complete non negatively curved
metrics is continuum connected. We can extend this result to the associated
moduli space when the set removed is a Hausdorff space with Haver's property C.
These results are refinements of theorems proven by Belegradek and Hu.

3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat