Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the dimension of some real, bounded rank, matrix spaces   Given $n$ integer, let $X$ be either the set of hermitian or real $n\times n$
matrices of rank at least $n-1$. If $n$ is even, we give a sharp estimate on
the maximal dimension of a real vector subspace of $X\cup\{0\}$. The rusults
are obtained, via K-theory, by studying a bundle map induced by the adjugation
of matrices

31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th