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Browsing by Author "Dikranjan, Dikran"

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Browsing by Author "Dikranjan, Dikran"

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    Arnautov's problems on semitopological isomorphisms 
    Dikranjan, Dikran; Giordano Bruno, Anna (Universitat Politècnica de València, 2009-04-01)
    [EN] Semitopological isomorphisms of topological groups were introduced by Arnautov [2], who posed several questions related to compositions of semitopological isomorphisms and about the groups G (we call them Arnautov ...
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    Balleans, hyperballeans and ideals 
    Dikranjan, Dikran; Protasov, Igor; Protasova, Ksenia; Zava, Nicolò (Universitat Politècnica de València, 2019-10-01)
    [EN] A ballean B (or a coarse structure) on a set X is a family of subsets of X called balls (or entourages of the diagonal in X × X) dened in such a way that B can be considered as the asymptotic counterpart of a uniform ...
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    Continuous maps in the Bohr Topology 
    Dikranjan, Dikran (Universitat Politècnica de València, 2001-10-01)
    [EN] The Bohr topology of an Abelian group G is the initial topology on G with respect to the family of all homomorphisms of G into the circle group. The group G equipped with the Bohr topology is denoted by G#. It was an ...
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    Every infinite group can be generated by P-small subset 
    Dikranjan, Dikran; Protasov, Igor (Universitat Politècnica de València, 2006-10-01)
    [EN] For every infinite group G and every set of generators S of G, we construct a system of generators in S which is small in the sense of Prodanov.
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    Groups with a small set of generators 
    Dikranjan, Dikran; Marconi, Umberto; Moresco, Roberto (Universitat Politècnica de València, 2003-10-01)
    [EN] Following [22] we study the class S of all groups that admit a small set of generators. Here we adopt also another notion of smallness (P-small) introduced by Prodanov in the case of abelian groups. We push further ...
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    Weakly metrizable pseudocompact groups 
    Dikranjan, Dikran; Giordano Bruno, Anna; Milan, Chiara (Universitat Politècnica de València, 2006-04-01)
    [EN] We study various weaker versions of metrizability for pseudocompact abelian groups G: singularity (G possesses a compact metrizable subgroup of the form mG, m > 0), almost connectedness (G is metrizable modulo the ...