44 citations · 271 across the 30 of their papers we have counts for
4 papers · 1 filter
Super-sequences in the arc component of a compact connected group
Dikran Dikranjan, Dmitri Shakhmatov
Let G be an abelian topological group. The symbol \hat{G} denotes the group of all continuous characters χ: G --> T endowed with the compact open topology. A subset E of G is said…
Building suitable sets for locally compact groups by means of continuous selections
Dmitri Shakhmatov
If a discrete subset S of a topological group G with the identity 1 generates a dense subgroup of G and S \cup {1} is closed in G, then S is called a suitable set for G. We apply M…
Minimal pseudocompact group topologies on free abelian groups
Dikran Dikranjan, Anna Giordano Bruno, Dmitri Shakhmatov
A Hausdorff topological group G is minimal if every continuous isomorphism f: G --> H between G and a Hausdorff topological group H is open. Significantly strengthening a 1981 resu…
Quasi-convex density and determining subgroups of compact abelian groups
Dikran Dikranjan, Dmitri Shakhmatov
For an abelian topological group G let G^* denote the dual group of all continuous characters endowed with the compact open topology. Given a closed subset X of an infinite compact…