• openAccess   Bounded Sets in Topological Spaces 

      Bors, Cristina; Ferrer, María V.; Hernández, Salvador MDPI (2022-02)
      Let G be a monoid that acts on a topological space X by homeomorphisms such that there is a point x0∈X with GU=X for each neighbourhood U of x0. A subset A of X is said to be G-bounded if for each neighbourhood U of x0 ...
    • openAccess   Homomorphic Encoders of Profinite Abelian Groups II 

      Ferrer, María V.; Hernández, Salvador MDPI (2022-03-29)
      Let {Gi:i∈N} be a family of finite Abelian groups. We say that a subgroup G≤∏i∈NGi is order controllable if for every i∈N, there is ni∈N such that for each c∈G, there exists c1∈G satisfying c1|[1,i]=c|[1,i], supp(c1)⊆[1,ni], ...
    • openAccess   The weak compactification of locally compact groups 

      Ferrer, María V.; Hernández, Salvador Elsevier (2021)
      We further investigate the weak topology generated by the irreducible unitary representations of a group G. A deep result due to Ernest [13] and Hughes [22] asserts that every weakly compact subset of a locally compact ...