26 citations · 41 across the 4 of their papers we have counts for
4 papers
NSS and TAP properties in topological groups close to being compact
Dikran Dikranjan, Dmitri Shakhmatov, Jan Spěvák
We introduce a notion of productivity (summability) of sequences in a topological group G, parametrized by a given function f : N --> omega+1. The extreme case when f is the functi…
Convergent sequences in minimal groups
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. Clearly, every compact Hausdorff group…
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…
Reflection principle characterizing groups in which unconditionally closed sets are algebraic
Dikran Dikranjan, Dmitri Shakhmatov
We give a necessary and sufficient condition, in terms of a certain reflection principle, for every unconditionally closed subset of a group G to be algebraic. As a corollary, we p…