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  Finite approximation of stably compact spaces 

  Smyth, M.B.; Webster, J. (Universitat Politècnica de València, 2002-10-01)

  [EN] Finite approximation of spaces by inverse sequences of graphs (in the category of so-called topological graphs) was introduced by Smyth, and developed further. The idea was subsequently taken up by Kopperman and Wilson, ...
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  Cofinitely and co-countably projective spaces 

  Mendoza Iturralde, Pablo; Tkachuk, Vladimir V. (Universitat Politècnica de València, 2002-10-01)

  [EN] We show that X is cofinitely projective if and only if it is a finite union of Alexandroff compactatifications of discrete spaces. We also prove that X is co-countably projective if and only if X admits no disjoint ...
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  Extendible spaces 

  Schellekens, M.P. (Universitat Politècnica de València, 2002-10-01)

  [EN] The domain theoretic notion of lifting allows one to extend a partial order in a trivial way by a minimum. In the context of Quantitative Domain Theory partial orders are represented as quasi-metric spaces. For such ...
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  On the structure of completely useful topologies 

  Bosi, Gianni; Herden, Gerhard (Universitat Politècnica de València, 2002-10-01)

  [EN] Let X be an arbitrary set. Then a topology t on X is completely useful if every upper semicontinuous linear preorder on X can be represented by an upper semicontinuous order preserving real-valued function. In this ...
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  Large and small sets with respect to homomorphisms and products of groups 

  Gusso, Riccardo (Universitat Politècnica de València, 2002-10-01)

  [EN] We study the behaviour of large, small and medium subsets with respect to homomorphisms and products of groups. Then we introduce the definition af a P-small set in abelian groups and we investigate the relations ...

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