• 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 ...
    • openAccess   Pseudocompact group topologies with prescribed topological subspaces 

      Galindo, Jorge; García Ferreira, S.; Tomita, Artur Hideyuki International Society for Mathematical Sciences (2009)
      We prove that every pseudocompact topological Abelian group G admits a pseudocompact topological group topology with a non-trivial convergent sequence. Imposing some restrictions on the properties of G, stronger properties ...