Now showing items 1-10 of 180
Solution of bounded nonlinear systems of equations using homotopies with inexact restoration
(Taylor & Francis LtdAbingdonInglaterra, 2003)
Coincidence Wecken homotopies versus Wecken homotopies relative to a fixed homotopy in one of the maps
(ELSEVIER SCIENCE BV, 2010)
We study the 1-parameter Wecken problem versus the restricted Wecken problem, for coincidence free pairs of maps between surfaces. For this we use properties of the function space between two surfaces and of the pure braid ...
Homotopy type of gauge groups of quaternionic line bundles over spheres
(ELSEVIER SCIENCE BV, 2009)
Let P be a principal S(3)-bundle over a sphere S(n), with n >= 4. Let G(p) be the gauge group of P. The homotopy type of G(p) when n - 4 was studied by A. Kono in [A. Kono, A note on the homotopy type of certain gauge ...
The Borsuk-Ulam theorem for homotopy spherical space forms
(BIRKHAUSER VERLAG AG, 2011)
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 ...
Homotopias e aplicações
(Universidade Estadual Paulista (UNESP), 2016-02-26)
O objetivo deste trabalho é mostrar que πn(X) é sempre abeliano quando n ≥ 2 e que π1(X) é abeliano quando X for um H-espaço e por fim calcular alguns grupos de homotopia utilizando sequência exata de uma fibração.
Distinguishing links up to link-homotopy by algebraic methods
(ELSEVIER SCIENCE BV, 2010)
In this paper we provide a complete algebraic invariant of link-homotopy, that is, an algebraic invariant that distinguishes two links if and only if they are link-homotopic. The paper establishes a connection between the ...
The fixed point property in every weak homotopy type
(Johns Hopkins Univ Press, 2016-01)
We prove that for any connected compact CW-complex K there exists aspace X weak homotopy equivalent to K which has the fixed point property, that is,every continuous map X -> X has a fixed point. The result is known to be ...
Homotopy colimits of diagrams over posets and variations on a theorem of Thomason
(International Press Boston, 2016-01)
We use a classical result of McCord and reduction methods of finite spaces to prove a generalization of Thomason's theorem on homotopy colimits over posets. In particular, this allows us to characterize the homotopy colimits ...
Strong Homotopy Types, Nerves and Collapses
We introduce the theory of strong homotopy types of simplicial complexes. Similarly to classical simple homotopy theory, the strong homotopy types can be described by elementary moves. An elementary move in this setting ...
THE HOMOTOPY TYPE OF INVARIANT CONTROL SET
(Universidad Católica del Norte, Departamento de Matemáticas, 2002)