Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $(H,G)$-coincidence theorems for manifolds and a topological Tverberg
  type theorem for any natural number $r$   Let $X$ be a paracompact space, let $G$ be a finite group acting freely on
$X$ and let $H$ a cyclic subgroup of $G$ of prime order $p$. Let
$f:X\rightarrow M$ be a continuous map where $M$ is a connected $m$-manifold
(orientable if $p>2$) and $f^* (V_k) = 0$, for $k\geq 1$, where $V_k$ are the
$Wu$ classes of $M$. Suppose that ${\rm{ind}}\, X\geq n> (|G|-r)m$, where
$r=\frac{|G|}{p}$. In this work, we estimate the cohomological dimension of the
set $A(f,H,G)$ of $(H,G)$-coincidence points of $f$. Also, we estimate the
index of a $(H, G)$-coincidence set in the case that $H$ is a $p$-torus
subgroup of a particular group $G$ and as application we prove a topological
Tverberg type theorem for any natural number $r$. Such result is a weak version
of the famous topological Tverberg conjecture, which was proved recently, fail
for all $r$ that are not prime powers. Moreover, we obtain a generalized Van
Kampen-Flores type theorem for any natural number $r$.

20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an