• closedAccess   Almost p-compact groups 

      Sanchis López, Manuel; Tomita, Artur Hideyuki Elsevier (2012-06)
      We show that if p is a selective ultrafilter, then for each cardinal α⩽ω1α⩽ω1, there exists a topological group G such that GβGβ is almost p-compact (in particular, countably compact), for β<αβ<α, but GαGα is not countably ...
    • 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 ...