Generalized degree in normed spaces

We present a generalized degree theory for continuous maps f (D, 9D) - (E, E\{0}), where E is a normed vectorial space, Dis an open subset of Rk xEsuch that p, (D) is bounded in Rk and f is a compact perturbation of the second projection p2 : Rk x E-

Generalized complementing maps

In this paper we apply the generalized degree introduced by Geba, Massabo and Vignoli, in [3], to extend the notion of complementing maps defined by Fitzpatrick, Massabo and Pejsachowicz, in [1] and [2]. On the other hand, we obtain, in low dimension, a bifurcation result in terms of the linking number of some 1-dimensional manifolds. We also present a global theorem that improves a Rabinowitz’s type result contained in [3] concerning the generalized degree

Teoría del grado topológico generalizado y aplicaciones

Tesis Universidad Complutense de Madrid,Facultad de Ciencias Matemáticas,Departamento de Geometría y topología, leída en Madrid el 30 de mayo de 1990 ; Dirigida por Enrique Outerelo Dominguez.Depto. de Álgebra, Geometría y TopologíaFac. de Ciencias MatemáticasTRUEProQuestpu

Uniqueness of dynamical zeta functions and symmetric products

A characterization of dynamically defined zeta functions is presented. It comprises a list of axioms, natural extension of the one which characterizes topological degree, and a uniqueness theorem. Lefschetz zeta function is the main (and proved unique) example of such zeta functions. Another interpretation of this function arises from the notion of symmetric product from which some corollaries and applications are obtained

Ultrametric spaces, valued and semivalued groups arising from the theory of shape

In this paper we construct many generalizad ultrametrics in the sets of shape morphisms between topological spaes. We recognize a topology in these sets which is independen on the shape representation of the spaces. We construct valuations an semivaluations on groups of shape equivalences and on n-th shape groups. We also connect shape theory, for arbitrary topological spaces, with the algebraic theory of generalized ultrametric spaces developed by S. Priess-Crampe and P. Ribenboim among other authors

Spaces of discrete shape and c-refinable maps that induce shape equivalences

Depto. de Álgebra, Geometría y TopologíaFac. de Ciencias MatemáticasTRUEDGICYTpu

Aprendizaje Servicio e Innovación Social desde la Universidad

El Aprendizaje Servicio es una estrategia docente necesaria para el desarrollo de iniciativas de emprendimiento e innovación social, que partan desde la Universidad, y que se puedan incorporar en las diferentes áreas de conocimiento de la UC

Attractors with vanishing rotation number

Given an orientation-preserving homeomorphism of the plane, a rotation number can be associated with each locally attracting fixed point. Assuming that the homeomorphism is dissipative and the rotation number vanishes we prove the existence of a second fixed point. The main tools in the proof are Caratheodory prime ends and fixed point index. The result is applicable to some concrete problems in the theory of periodic differential equations