Scheda di progetto Titolo

Gabriyelyan [53, Corollary 1] proved that every characterized subgroup H of a compact metrizable abelian group K admits a finer Polish (and locally quasi-convex) group topology..

If G is divisible, then it is obviously inert; furthermore, if G is bounded with at most one infinite Ulm–Kaplansky invariant, it is commensurable with a fully invariant subgroup

Gabriyelyan, On characterized subgroups of Abelian topological groups X and the group of all X-valued null sequences, Comment.. Kechris, Classical Descriptive Set Theory, Graduate

Inspired by the fact that the narrow abelian groups form precisely the class of abelian groups for which the profinite and the natural topology coincide (see Theorem 3.1), in Section

One of these re- sults is Margulis’ Theorem (Theorem 1.10) which states that every group G of orientation-preserving homomorphisms of the unit circle S 1 either contains a

In the theory of locally nilpotent groups, to avoid such groups too, it is sometimes convenient to restrict to a proper, but still large, subclass of the class of locally graded

Some characteristics of Italian corporate groups help to explain why so many large-sized firms are still controlled by one single family. Large Italian groups are characterised by a

In fact, in view of Theorem 1.5, we can con- sider the case when K is a singular non-metrizable compact abelian group, and Theorem 1.7 gives necessary and sufficient conditions in