2 papers
math.GR2011
Arnautov's problems on semitopological isomorphisms
Dikran Dikranjan, Anna Giordano Bruno
Semitopological isomorphisms of topological groups were introduced by Arnautov, who posed several questions related to compositions of semitopological isomorphisms and the groups G…
math.GN2011
Functorial topologies and finite-index subgroups of abelian groups
Dikran Dikranjan, Anna Giordano Bruno
In the general context of functorial topologies, we prove that in the lattice of all group topologies on an abelian group, the infimum between the Bohr topology and the natural top…