A coarse convergence group need not be precompact
Abelian groups whose endomorphism ring is linearly compact
Abelian pro-countable groups and orbit equivalence relations
We study a class of abelian groups that can be defined as Polish pro-countable groups, as non-archimedean groups with a compatible two-sided invariant metric or as quasi-countable groups, i.e., closed subdirect products of countable discrete groups, endowed with the product topology. We show that for every non-locally compact, abelian quasi-countable group G there exists a closed L ≤ G and a closed, non-locally compact K ≤ G/L which is a direct product of discrete countable groups....
Abelian torsion groups with a pseudocompact group topology.
Algebraisch kompakte Faktorgruppen.
Almost coproducts of finite cyclic groups
A new class of -primary abelian groups that are Hausdorff in the -adic topology and that generalize direct sums of cyclic groups are studied. We call this new class of groups almost coproducts of cyclic groups. These groups are defined in terms of a modified axiom 3 system, and it is observed that such groups appear naturally. For example, is almost a coproduct of finite cyclic groups whenever is a Hausdorff -primary group and is the group of normalized units of the modular group algebra...
Automorphisms of Bounded Abelian Groups.
Compact topologically torsion elements of topological abelian groups
Complete exact sequences
Construction of group topologies on abelian groups
Duality and Completions of Linearly Topologized Modules.
Erratum “Pure extensions of locally compact abelian groups” [Rend. Sem. Mat. Univ. Padova 116 (2006), 31–40]
Imposing psendocompact group topologies on Abeliau groups
The least cardinal λ such that some (equivalently: every) compact group with weight α admits a dense, pseudocompact subgroup of cardinality λ is denoted by m(α). Clearly, . We show: Theorem 4.12. Let G be Abelian with |G| = γ. If either m(α) ≤ α and m, or α > ω and , then G admits a pseudocompact group topology of weight α. Theorem 4.15. Every connected, pseudocompact Abelian group G with wG = α ≥ ω satisfies . Theorem 5.2(b). If G is divisible Abelian with , then G admits at most -many...
Irresolvable countable spaces of weight less than
We construct in Bell-Kunen’s model: (a) a group maximal topology on a countable infinite Boolean group of weight and (b) a countable irresolvable dense subspace of . In this model .
-essential subgroups of abelian groups. II.
On Cartesian Powers of a Rational Group.
On convergence groups with dense coarse subgroups
On ...-filtered vector spaces and their application to abelian p-groups: I.
On group topologies and idempotents in weak almost periodic compactifications.
On homomorphisms of groups of integer-valued functions.