44 citations · 271 across the 30 of their papers we have counts for
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math.GR2010★ 14 cited
A Kronecker-Weyl theorem for subsets of abelian groups
Dikran Dikranjan, Dmitri Shakhmatov
Let N be the set of non-negative integer numbers, T the circle group and c the cardinality of the continuum. Given an abelian group G of size at most 2^c and a countable family F o…
math.GN2010★ 5 cited
Productivity of sequences with respect to a given weight function
Dikran Dikranjan, Dmitri Shakhmatov, Jan Spěvák
Given a function f: N --> (omega+1)-{0}, we say that a faithfully indexed sequence {a_n: n in N} of elements of a topological group G is: (i) f-Cauchy productive (f-productive) pro…
math.GR2010★ 44 cited
The Markov-Zariski topology of an abelian group
Dikran Dikranjan, Dmitri Shakhmatov
According to Markov, a subset of an abelian group G of the form {x in G: nx=a}, for some integer n and some element a of G, is an elementary algebraic set; finite unions of element…