44 citations · 271 across the 30 of their papers we have counts for
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Hewitt-Marczewski-Pondiczery type theorem for abelian groups and Markov's potential density
Dikran Dikranjan, Dmitri Shakhmatov
For an uncountable cardinal τand a subset S of an abelian group G, the following conditions are equivalent: (i) |{ns:s\in S}|\ge τfor all integers n\ge 1; (ii) there exists a group…
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…
Group-valued continuous functions with the topology of pointwise convergence
Dmitri Shakhmatov, Jan Spěvák
We denote by C_p(X,G) the group of all continuous functions from a space X to a topological group G endowed with the topology of pointwise convergence. We say that spaces X and Y a…
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…