• 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 ...
    • 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 ...