Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On multiple Borsuk numbers in normed spaces   Hujter and L\'angi introduced the $k$-fold Borsuk number of a set $S$ in
Euclidean $n$-space of diameter $d > 0$ as the smallest cardinality of a family
$\mathcal F$ of subsets of $S$, of diameters strictly less than $d$, such that
every point of $S$ belongs to at least $k$ members of $\mathcal F$.
  We investigate whether a $k$-fold Borsuk covering of a set $S$ in a finite
dimensional real normed space can be extended to a completion of $S$.
Furthermore, we determine the $k$-fold Borsuk number of sets in not angled
normed planes, and give a partial characterization for sets in angled planes.

27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an