44 citations · 271 across the 30 of their papers we have counts for
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math.GN2015★ 2 cited
A countable free closed non-reflexive subgroup of Z^c
Maria Vincenta Ferrer, Salvador Hernández, Dmitri Shakhmatov
We prove that the group G=Hom(P,Z) of all homomorphisms from the Baer-Specker group P to the group Z of integer numbers endowed with the topology of pointwise convergence contains…
math.GN2015★ 17 cited
A complete solution of Markov's problem on connected group topologies
Dikran Dikranjan, Dmitri Shakhmatov
Every proper closed subgroup of a connected Hausdorff group must have index at least c, the cardinality of the continuum. 70 years ago Markov conjectured that a group G can be equi…
math.GN2015★ 7 cited
Direct sums and products in topological groups and vector spaces
Dikran Dikranjan, Dmitri Shakhmatov, Jan Spěvák
We call a subset of an abelian topological group : (i) provided that for every open neighbourhood of one can find a finite set $F\su…