Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On complete metrizability of the Hausdorff metric topology   There exists a completely metrizable bounded metrizable space $X$ with
compatible metrics $d,d'$ so that the hyperspace $CL(X)$ of nonempty closed
subsets of $X$ endowed with the Hausdorff metric $H_d$, $H_{d'}$, resp. is
$\alpha$-favorable, $\beta$-favorable, resp. in the strong Choquet game. In
particular, there exists a completely metrizable bounded metric space $(X,d)$
such that $(CL(X),H_d)$ is not completely metrizable.

19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio