• 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 ...
    • 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 → ...