Browsing by Author "06f18bb7-dd26-4109-9220-96a23b0cad24"

Now showing items 1-10 of 10

    • closedAccess   Completions of paratopological groups and bounded sets 

      Sanchis López, Manuel; Tkachenko, Mikhail Springer Verlag (2017)
      In this paper we consider two questions in the realm of paratopological groups: When does multiplication on a given Tychonoff paratopological group H admit an extension to continuous multiplication on the Dieudonné ...

    • closedAccess   Dieudonné Completion and PT-Groups 

      Sanchis López, Manuel; Tkachenko, Mikhail Springer Netherlands (2012-02)
      We consider the classes of PT-groups, strong PT-groups, completion friendly groups, and Moscow groups introduced by Arhangel’skii for the study of the Dieudonné completion of topological groups. We show that every subgroup ...

    • openAccess   Feebly compact paratopological groups and real-valued functions 

      Sanchis López, Manuel; Tkachenko, Mikhail Springer-Verlag (2012)
      We present several examples of feebly compact Hausdorff paratopological groups (i.e., groups with continuous multiplication) which provide answers to a number of questions posed in the literature. It turns out that a ...

    • openAccess   Nondiscrete P-Groups can be reflexive 

      Galindo, Jorge; Recoder Núñez, Luis; Tkachenko, Mikhail (2010-02)
      We present a series of examples of nondiscrete reflexive P-groups (i.e., groups in which all G -sets are open) as well as noncompact reflexive !-bounded groups (in which the closure of every countable set is compact). ...

    • closedAccess   Nondiscrete P-groups can be reflexive 

      Galindo, Jorge; Recoder Núñez, Luis; Tkachenko, Mikhail Elsevier (2011-02-01)
      We present the first examples of nondiscrete reflexive P-groups (topological groups in which countable intersections of open sets are open) as well as of noncompact reflexive ω-bounded groups (precompact groups in which ...

    • closedAccess   R-factorizable paratopological groups 

      Sanchis López, Manuel; Tkachenko, Mikhail Elsevier (2010)
      For i = 1, 2, 3, 3.5, we define the class of R<sub>i</sub>-factorizable paratopological groups G by the condition that every continuous real-valued function on G can be factorized through a continuous homomorphism p : G → ...

    • openAccess   Reflexivity in precompact groups and extensions 

      Galindo, Jorge; Tkachenko, Mikhail; Bruguera, Montserrat; Hernández, Constancio Elsevier (2014-02)
      We establish some general principles and find some counter-examples concerning the Pontryagin reflexivity of precompact groups and P-groups. We prove in particular that: (1) A precompact Abelian group G of ...

    • closedAccess   Reflexivity of prodiscrete topological groups  

      Galindo, Jorge; Recoder Núñez, Luis; Tkachenko, Mikhail Elsevier (2011)
      We study the duality properties of two rather different classes of subgroups of direct products of discrete groups (protodiscrete groups): P-groups, i.e., topological groups such that countable intersections of its open ...

    • closedAccess   Self-duality in the class of precompact groups 

      Tkachenko, Mikhail Elsevier (2009)
      A topological Abelian group G is called (strongly) self-dual if there exists a topological isomorphism Φ : G → G<sup>∧</sup> of G onto the dual group G<sup>∧</sup> (such that Φ (x) (y) = Φ (y) (x) for all x, y ∈ G). We ...

    • closedAccess   Totally Lindelöf and totally ω-narrow paratopological groups 

      Sanchis López, Manuel; Tkachenko, Mikhail Elsevier (2008-01)
      In many natural objects of topological algebra that possess the algebraic structure of a group, the operations of inversion and multiplication are not necessarily continuous—it suffices to recall the groups of homeomorphisms of ...