Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperspace of convex compacta of nonmetrizable compact convex subspaces
  of locally convex spaces   Our main result states that the hyperspace of convex compact subsets of a
compact convex subset $X$ in a locally convex space is an absolute retract if
and only if $X$ is an absolute retract of weight $\le\omega_1$. It is also
proved that the hyperspace of convex compact subsets of the Tychonov cube
$I^{\omega_1}$ is homeomorphic to $I^{\omega_1}$. An analogous result is also
proved for the cone over $I^{\omega_1}$. Our proofs are based on analysis of
maps of hyperspaces of compact convex subsets, in particular, selection
theorems for such maps are proved.

31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an