The Nielsen-Borsuk-Ulam number is a lower bound for the minimal number of pair of coincidences points such that f(x) = f(\tau(x)) in a given homotopy class of maps. In this text the Nielsen-Borsuk-Ulam number, NBU(f; \tau), ...

In this work, we show for which odd-dimensional homotopy spherical space forms the Borsuk-Ulam theorem holds. These spaces are the quotient of a homotopy odd-dimensional sphere by a free action of a finite group. Also, the ...

Let X and Y be pathwise connected and paracompact Hausdorff spaces equipped with free involutions T:X→X and S:Y→Y, respectively. Suppose that there exists a sequence (Xi,Ti)→ hi (Xi+1,Ti+1) for 1≤i≤k, where, for each i, ...

Neste trabalho, estudamos o Teorema clássico de Borsuk - Ulam e também outros Teoremas do tipo Borsuk - Ulam. Para isto, consideramos aplicacões contínuas f : (Cn+1 L f0g) ! Cn. Uma raíz primitiva k - ésima da unidade » ...

Neste trabalho, estudamos o Teorema clássico de Borsuk - Ulam e também outros Teoremas do tipo Borsuk - Ulam. Para isto, consideramos aplicacões contínuas f : (Cn+1 L f0g) ! Cn. Uma raíz primitiva k - ésima da unidade » ...

In this work, we will use topological methods in combinatorics and geometry to present a proof of the topological Tverberg theorem and a result about many Tverberg partitions.

O Teorema de Borsuk-Ulam clássico afirma que: “Se f : Sn → IRn é uma aplicação contínua, entãoexisteumponto x em Sn talque f(x) = f(−x), ouequivalentemente f(x) = f(A(x)), onde Sn indica a esfera unitária n-dimensional e A ...

The classic Borsuk-Ulam theorem states that if f : Sn ��! Rn is a continuous map, then there exists a point x in the sphere such that f(x) = f(��x). Since the publication, many generalizations of that result have been ...

The main objective of this work is to prove Tverberg-type theorems and related results. More specifically, we will present an alternative proof for the Bárány-Larman conjecture for the case $r = p-1 $ with $ p $ a prime, ...