Topological type of weakly closed subgroups in Banach spaces
Volume 118 / 1996
Studia Mathematica 118 (1996), 49-62 DOI: 10.4064/sm-118-1-49-62
The main result says that nondiscrete, weakly closed, containing no nontrivial linear subspaces, additive subgroups in separable reflexive Banach spaces are homeomorphic to the complete Erdős space. Two examples of such subgroups in $ℓ^1$ which are interesting from the Banach space theory point of view are discussed.