• openAccess   A countable free closed non-reflexive subgroup of Zc 

      Ferrer González, María Vicenta; Hernández, Salvador; Shakhmatov, Dmitry American Mathematical Society (2017)
      We prove that the group G = Hom(ZN, Z) of all homomorphisms from the Baer-Specker group ZN to the group Z of integer numbers endowed with the topology of pointwise convergence contains no infinite compact subsets. We ...
    • openAccess   Subgroups of direct products closely approximated by direct sums 

      Ferrer González, María Vicenta; Hernández, Salvador; Shakhmatov, Dmitry De Gruyter (2017-09)
      Let I be an infinite Π set, fGi : i 2 Ig be a family of (topological) groups and G = i∈I Gi be its direct product. For J I, pJ : G ! Π j∈J Gj denotes the projection. We say that a subgroup H of G is: (i) uniformly ...