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Applied General Topology - Vol 03, No 1 (2002): Recent submissions

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    Duality and quasi-normability for complexity spaces 
    Romaguera, Salvador; Schellekens, M.P. (Universitat Politècnica de València, 2002-04-01)
    [EN] The complexity (quasi-metric) space was introduced in [23] to study complexity analysis of programs. Recently, it was introduced in [22] the dual complexity (quasi-metric) space, as a subspace of the function space ...
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    Topological groups with dense compactly generated subgroups 
    Fujita, Hiroshi; Shakhmatov, Dimitri (Universitat Politècnica de València, 2002-04-01)
    [EN] A topological group G is: (i) compactly generated if it contains a compact subset algebraically generating G, (ii) -compact if G is a union of countably many compact subsets, (iii) 0-bounded if arbitrary neighborhood ...
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    Fenestrations induced by perfect tilings 
    Arenas, F.G.; Puertas, M.L. (Universitat Politècnica de València, 2002-04-01)
    [EN] In this paper we study those regular fenestrations (as defined by Kronheimer in [3]) that are obtained from a tiling of a topological space. Under weak conditions we obtain that the canonical grid is also the minimal ...
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    Every finite system of T1 uniformities comes from a single distance structure 
    Heitzig, Jobst (Universitat Politècnica de València, 2002-04-01)
    [EN] Using the general notion of distance function introduced in an earlier paper, a construction of the finest distance structure which induces a given quasi-uniformity is given. Moreover, when the usual defining condition ...
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    Minimal TUD spaces 
    McCluskey, A.E.; Watson, Stephen (Universitat Politècnica de València, 2002-04-01)
    [EN] A topological space is TUD if the derived set of each point is the union of disjoint closed sets. We show that there is a minimal TUD space which is not just the Alexandroff topology on a linear order. Indeed the ...