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Applied General Topology
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Applied General Topology - Vol 12, No 1 (2011)
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Applied General Topology - Vol 12, No 1 (2011): Enviados recientemente

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Some remarks on stronger versions of the Boundary Problem for Banach spaces

Hardtke, Jan-David (Universitat Politècnica de València, 2011-04-01)

[EN] Let X be a real Banach space. A subset B of the dual unit sphere of X is said to be a boundary for X, if every element of X attains its norm on some functional in B. The well-known Boundary Problem originally posed ...
Introduction to generalized topological spaces

Zvina, Irina (Universitat Politècnica de València, 2011-04-01)

[EN] We introduce the notion of generalized topological space (gt-space). Generalized topology of gt-space has the structure of frame and is closed under arbitrary unions and finite intersections modulo small subsets. The ...
A Kuratowski-Mrówka type characterization of fibrewise compactness

Neira U.; Clara M. (Universitat Politècnica de València, 2011-04-01)

[EN] In this paper a Kuratowski-Mrówka type characterization of fibrewisecompact topological spaces is presented.
Hypercyclic abelian semigroup of matrices on Cn and Rn and k-transitivity (k ≥ 2)

Ayadi, Adlene (Universitat Politècnica de València, 2011-04-01)

[EN] We prove that the minimal number of matrices on Cn required to forma hypercyclic abelian semigroup on Cn is n+1. We also prove that theaction of any abelian semigroup finitely generated by matrices on Cnor Rn is never ...
Characterizing meager paratopological groups

Banak, Taras; Guran, Igor; Ravsky, Alex (Universitat Politècnica de València, 2011-04-01)

[EN] We prove that a Hausdorff paratopological group G is meager if andonly if there are a nowhere dense subset A G and a countable setC G such that CA = G = AC.