Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theorems of Borsuk-Ulam type for flats and common transversals   In this paper some results on the topology of the space of $k$-flats in
$\mathbb R^n$ are proved, similar to the Borsuk-Ulam theorem on coverings of
sphere. Some corollaries on common transversals for families of compact sets in
$\mathbb R^n$, and on measure partitions by hyperplanes, are deduced.

26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph