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Uma nota sobre o teorema de Borsuk-Ulam
(Universidade Federal de São Carlos, 2011-02-25)
The main objective of this work is to prove that the map B defined on F and taking values in B, where F is the set of all continuous functions from Sn to Rn and B is the set of all nonempty closed subsets of Sn, invariant ...
Grupo de tranças e espaços de configurações
(Universidade Federal de São Carlos, 2007-06-27)
In this work, we study the Artin braid group, B(n), and the confguration spaces (ordered and unordered) of a path connected manifold of dimension ¸ 2. The fundamental group of confguration space (unordered) of IR2 is ...
Número de Nielsen-Borsuk-Ulam para aplicações entre toros
(Universidade Federal de São Carlos, 2021-03-25)
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), ...