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Autor Rodríguez Sanjurjo, José Manuel |
Documentos disponibles escritos por este autor (61)
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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[...]![]()
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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[...]![]()
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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[...]![]()
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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[...]![]()
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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.![]()
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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[...]![]()
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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[...]![]()
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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[...]![]()
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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[...]![]()
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We study dynamical and topological properties of the unstable manifold of isolated invariant compacta of flows. We show that some parts of the unstable manifold admit sections carrying a considerable amount of information. These sections enable [...]