Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Tverberg's conjecture   In 1989 H. Tverberg proposed a quite general conjecture in Discrete geometry,
which could be considered as the common basis for many results in Combinatorial
geometry and at the same time as a discrete analogue of the common transversal
theorems. It implies or contains as the special cases many classical
"coincidence" results such as Radon's theorem, Rado's theorem, the Ham-sandwich
theorem, the nonembeddability results (of graphs in the plane) etc. The main
goal of this note is to verify this conjecture in one new, non-trivial case. We
obtain the continuous version of the conjecture. So, it is not surprising that
we use topological methods, or more precisely the methods of equivaiant
topology and the characteristic classes.

37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th