Información del autor
Autor Rodríguez Sanjurjo, José Manuel |
Documentos disponibles escritos por este autor (61)
Añadir el resultado a su cesta Hacer una sugerencia Refinar búsqueda
texto impreso
Giraldo, A. ; Rodríguez Sanjurjo, José Manuel | Society for Industrial and Applied Mathematics | 2009We study dynamical and topological properties of the singularities of continuations of attractors of flows on manifolds. Despite the fact that these singularities are not isolated invariant sets, they share many of the properties of attractors; [...]texto impreso
Giraldo, A. ; Morón, Manuel A. ; Romero Ruiz del Portal, Francisco ; Rodríguez Sanjurjo, José Manuel | Elsevier Science | 2001-06-29We show in this paper that the class of compacts that call be isolated non-saddle sets of flows in ANRs is precisely the class of compacta with polyhedral shape. We also prove-reinforcing the essential role played by shape theory in this setting[...]texto impreso
In this paper the author studies homotopy properties of FANR spaces (fundamental absolute neighborhood retracts). The principal result is a theorem about homotopy extensions for fundamental ? -near sequences such that the initial and final level[...]texto impreso
Laguna, V. F. ; Rodríguez Sanjurjo, José Manuel | Japanese Association of mathematical Sciences | 1986Let A(X,Y) be the set of all approximate maps ofa compactum X to a compactum Y. In this paper we define two topologies on A(X,Y) and study some properties of the spaces obtained.texto impreso
The authors study the space $A\sp*(X,Y)$ of all approximative maps f\{f\sb k: X\to Y\}$ between compact subsets X, Y of the Hilbert cube. The topology of this space is given by the pseudometric $d\sp*(\underline f,\underline g)=\inf \{\sup \{d[...]texto impreso
This paper is a survey on how topological techniques (mainly from algebraic and geometric topology) can be applied to the study of flows. The first five sections constitute a self-contained introduction to the subject, including the proofs of se[...]texto impreso
In this interesting paper, the author gives a stability condition for the fixed point property in terms of K. Borsuk's fundamental metric on a hyperspace of a compact metric space. This condition is equivalent to that originally given by V. L. K[...]texto impreso
texto impreso
This paper is a review of applications of shape theory to the theory of dynamical systems. The paper gives careful statements with references to other papers containing more details and proofs. There is a brief introduction to the theory of sha[...]texto impreso
Summary (translated from the Spanish): "In this expository paper we present some relations between the two branches of mathematics mentioned in the title. In particular, we prove some cohomological properties of the non-saddle decomposition of a[...]texto impreso
Nhu, Nguyen Tho ; Rodríguez Sanjurjo, José Manuel ; Van An, Tran | American Mathematical Society | 1997-10In this second part of our paper, we apply the result of Part 1 to show that the compact convex set with no extreme points, constructed by Roberts (1977), is an AR.texto impreso
Morón, Manuel A. ; Sánchez Gabites, Jaime Jorge ; Rodríguez Sanjurjo, José Manuel | Polish acad sciences inst mathematics | 2007This article aims to explore the theory of unstable attractors with topological tools. A short topological analysis of the isolating blocks for unstable attractors with no external explosions leads quickly to sharp results about their shapes and[...]texto impreso
Cuchillo Ibáñez, Eduardo ; Morón, Manuel A. ; Romero Ruiz del Portal, Francisco ; Rodríguez Sanjurjo, José Manuel | Elsevier Science | 1999-06-09We introduce a topology on the set of shape morphisms between arbitrary topological spaces X, Y, Sh(X, Y). These spaces allow us to extend, in a natural way, some classical concepts to the realm of topological spaces. Several applications are gi[...]texto impreso
We consider parameterized families of flows in locally compact metrizable spaces and give a characterization of those parameterized families of flows for which uniform persistence continues. On the other hand, we study the generalized Poincare-A[...]texto impreso
We present sufficient conditions on an approximate mapping F : H --> Y of approximate inverse systems in order that the limit f : X --> Y of F is a universal map in the sense of Holsztynski. A similar theorem holds for a more restrictive conce[...]