Applied General Topology - Vol 02, No 1 (2001)

Permanent URI for this collection

https://riunet7pre.upv.es/handle/10251/81904

Tabla de contenidos



Research articles

  • On topological sequence entropy of circle maps
  • Fell type topologies of quasi-pseudo-metric spaces and the Kuratowski-Painlevé convergence
  • Continuous representability of complete preorders on the space of upper-continuous capacities
  • F-points in countably compact spaces
  • Common fixed point theorems for a countable family of fuzzy mappings
  • New results on topological dynamics of antitriangular maps
  • A contribution to the study of fuzzy metric spaces
  • Attractor of reaction-diffusion equations in Banach spaces
  • Weak completeness of the Bourbaki quasi-uniformity
  • Flows equivalences

Browse

Recent Submissions

Now showing 1 - 5 of 10
  • Thumbnail Image
    Publication
    Flows equivalences
    (Universitat Politècnica de València, 2001-04-01) Soler López, Gabriel; Ministerio de Educación y Cultura
    [EN] Given a differential equation on an open set O of an n-manifold we can associate to it a pseudo-flow, that is, a flow whose trajectories may not be defined in the entire real line. In this paper we prove that this pseudo-flow is always equivalent to a flow with its trajectories defined in all R. This result extends a similar result of Vinograd stated in the n-dimensional Euclidean space.
  • Thumbnail Image
    Publication
    Weak completeness of the Bourbaki quasi-uniformity
    (Universitat Politècnica de València, 2001-04-01) Sánchez Granero, M.A.; Ministerio de Ciencia y Tecnología
    [EN] The concept of semicompleteness (weaker than half-completeness) is defined for the Bourbaki quasi-uniformity of the hyperspace of a quasi-uniform space. It is proved that the Bourbaki quasi-uniformity is semicomplete in the space of nonempty sets of a quasi-uniform space (X,U) if and only if each stable filter on (X,U*) has a cluster point in (X,U). As a consequence the space of nonempty sets of a quasi-pseudometric space is semicomplete if and only if the space itself is half-complete. It is also given a characterization of semicompleteness of the space of nonempty U*-compact sets of a quasi-uniform space (X,U) which extends the well known Zenor-Morita theorem.
  • Thumbnail Image
    Publication
    Attractor of reaction-diffusion equations in Banach spaces
    (Universitat Politècnica de València, 2001-04-01) Valero, José
    [EN] In this paper we prove first some abstract theorems on existence of global attractors for differential inclusions generated by w-dissipative operators. Then these results are applied to reaction-diffusion equations in which the Babach space Lp is used as phase space. Finally, new results concerning the fractal dimension of the global attractor in the space L2 are obtained.
  • Thumbnail Image
    Publication
    A contribution to the study of fuzzy metric spaces
    (Universitat Politècnica de València, 2001-04-01) Sapena Piera, Almanzor; Dpto. de Matemática Aplicada; Escuela Politécnica Superior de Gandia; Instituto de Investigación para la Gestión Integrada de Zonas Costeras
    [EN] We give some examples nad properties of fuzzy metric spaces, in the sense of George and Veramani, and characterize the To topological spaces which admit a compatible uniformity that has a countable transitive base, in terms of the fuzzy theory.
  • Thumbnail Image
    Publication
    New results on topological dynamics of antitriangular maps
    (Universitat Politècnica de València, 2001-04-01) Balibrea, Francisco; Cánovas, J.S.; Linero, A.; Ministerio de Educación y Cultura
    [EN] We present some results concerning the topological dynamics of antitriangular maps, F:X2→ X2 with the formvF(x,y)=(g(y),f(x)), where (X,d) is a compact metric space and f,g : X→ X are continuous maps. We make an special analysis in the case of X = [0,1].