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math.GN2011
Topics in uniform continuity
Dikran Dikranjan, Dušan Repovš
This paper collects results and open problems concerning several classes of functions that generalize uniform continuity in various ways, including those metric spaces (generalizin…
math.GN2011
Functorial topologies and finite-index subgroups of abelian groups
Dikran Dikranjan, Anna Giordano Bruno
In the general context of functorial topologies, we prove that in the lattice of all group topologies on an abelian group, the infimum between the Bohr topology and the natural top…
math.GN2011★ 6 cited
Metrization criteria for compact groups in terms of their dense subgroups
Dikran Dikranjan, Dmitri Shakhmatov
According to Comfort, Raczkowski and Trigos-Arrieta, a dense subgroup D of a compact abelian group G determines G if the restriction homomorphism G^ --> D^ of the dual groups is a…