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Applied General Topology - Vol 11, No 2 (2010)

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Applied General Topology - Vol 11, No 2 (2010)

 
 

Tabla de contenidos


  • Convergence semigroup categories
  • Thin subsets of balleans
  • Closed injective systems and its fundamental limit spaces
  • The Alexandroff property and the preservation of strong uniform continuity
  • Random selection of Borel sets

Envíos recientes

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    Random selection of Borel sets 
    Günther, Bernd (Universitat Politècnica de València, 2010-10-01)
    [EN] A theory of random Borel sets is presented, based on dyadic resolutions of compact metric spaces. The conditional expectation of the intersection of two independent random Borel sets is investigated. An example based ...
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    The Alexandroff property and the preservation of strong uniform continuity 
    Beer, Gerald (Universitat Politècnica de València, 2010-10-01)
    [EN] In this paper we extend the theory of strong uniform continuity and strong uniform convergence, developed in the setting of metric spaces in, to the uniform space setting, where again the notion of shields plays a key ...
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    Closed injective systems and its fundamental limit spaces 
    Fenille, Marcio Colombo (Universitat Politècnica de València, 2010-10-01)
    [EN] In this article we introduce the concept of limit space and fundamental limit space for the so-called closed injected systems of topological spaces. We present the main results on existence anduniqueness of limit ...
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    Thin subsets of balleans 
    Lutsenko, Ievgen; Protasov, Igor V. (Universitat Politècnica de València, 2010-10-01)
    [EN] A ballean is a set endowed with some family of balls in such a way that a ballean can be considered as an asymptotic counterpar tof a uniform topological space. We characterize the ideal generated by the family of all ...
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    Convergence semigroup categories 
    Richardson, Gary; Mikusinski, Piotr; Boustique, H. (Universitat Politècnica de València, 2010-10-01)
    [EN] Properties of the category consisting of all objects of the form (X, S, λ) are investigated, where X is a convergence space, S is a commutative semigroup, and λ: X × S → X is a continuous action. A “generalized quotient” ...