Results 21 to 30 of about 313 (39)
Topological methods in zero-sum Ramsey theory
Forum of Mathematics, SigmaA landmark result of Erdős, Ginzburg, and Ziv (EGZ) states that any sequence of $2n-1$ elements in ${\mathbb {Z}}/n$ contains a zero-sum subsequence of length n.
Florian Frick +7 more
doaj +1 more source
Maps on graphs can be deformed to be coincidence-free [PDF]
, 2010 We give a construction to remove coincidence points of continuous maps on graphs (1-complexes) by changing the maps by homotopies. When the codomain is not homeomorphic to the circle, we show that any pair of maps can be changed by homotopies to be ...
Staecker, P. Christopher
core +2 more sources
Knaster's problem for $(Z_2)^k$-symmetric subsets of the sphere $S^{2^k-1}$
, 2009 We prove a Knaster-type result for orbits of the group $(Z_2)^k$ in $S^{2^k-1}$, calculating the Euler class obstruction. Among the consequences are: a result about inscribing skew crosspolytopes in hypersurfaces in $\mathbb R^{2^k}$, and a result about ...
A. Borel +28 more
core +2 more sources
An easily verifiable proof of the Brouwer fixed point theorem [PDF]
, 2011 We give a remarkably elementary proof of the Brouwer fixed point theorem.
Suzuki, Tomonari, Takeuchi, Yukio
core +2 more sources
Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups
, 2017 Let $R(\phi)$ be the number of $\phi$-conjugacy (or Reidemeister) classes of an endomorphism $\phi$ of a group $G$. We prove for several classes of groups (including polycyclic) that the number $R(\phi)$ is equal to the number of fixed points of the ...
Fel'shtyn, Alexander, Troitsky, Evgenij
core +1 more source
Orbit spaces of free involutions on the product of two projective spaces
, 2010 Let $X$ be a finitistic space having the mod 2 cohomology algebra of the product of two projective spaces. We study free involutions on $X$ and determine the possible mod 2 cohomology algebra of orbit space of any free involution, using the Leray ...
A. Borel +18 more
core +1 more source
Minimizing coincidence numbers of maps into projective spaces
, 2008 In this paper we continue to study (`strong') Nielsen coincidence numbers (which were introduced recently for pairs of maps between manifolds of arbitrary dimensions) and the corresponding minimum numbers of coincidence points and pathcomponents.
Koschorke, Ulrich
core +1 more source
Localized intersection of currents and the Lefschetz coincidence point theorem
, 2015 We introduce the notion of a Thom class of a current and define the localized intersection of currents. In particular we consider the situation where we have a smooth map of manifolds and study localized intersections of the source manifold and currents ...
Bisi, Cinzia +3 more
core +1 more source
Obstruction theory for coincidences of multiple maps
, 2017 Let $f_1,..., f_k:X\to N$ be maps from a complex $X$ to a compact manifold $N$, $k\ge 2$. In previous works \cite{BLM,MS}, a Lefschetz type theorem was established so that the non-vanishing of a Lefschetz type coincidence class $L(f_1,...,f_k)$ implies ...
Monis, Thais, Wong, Peter
core +2 more sources
A Discrete Multivariate Mean Value Theorem with Applications [PDF]
AMS classifications: 47H10; 54H25; 55M20; 90C33; 91B50Discrete set;mean value theorem;fixed point;algorithm;equilibrium ...
Talman, A.J.J., Yang, Z.F.
core +1 more source