Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hereditary invertible linear surjections and splitting problems for
  selections   Let $A+B$ be the pointwise (Minkowski) sum of two convex subsets $A$ and $B$
of a Banach space. Is it true that every continuous mapping $h:X \to A+B$
splits into a sum $h=f+g$ of continuous mappings $f:X \to A$ and $g:X \to B$?
We study this question within a wider framework of splitting techniques of
continuous selections. Existence of splittings is guaranteed by hereditary
invertibility of linear surjections between Banach spaces. Some affirmative and
negative results on such invertibility with respect to an appropriate class of
convex compacta are presented. As a corollary, a positive answer to the above
question is obtained for strictly convex finite-dimensional precompact spaces.

29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc