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- Istituto Nazionale di Fisica Nucleare, Sezione di PadovaIT28 papers
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math.GN2008★ 1 cited
Locally compact abelian groups admitting non-trivial quasi-convex null sequences
Dikran Dikranjan, Gábor Lukács
In this paper, we show that for every locally compact abelian group G, the following statements are equivalent: (i) G contains no sequence {x_n} such that {0} \cup {\pm x_n : n \in…
math.GN2008
Products of straight spaces
Alessandro Berarducci, Dikran Dikranjan, Jan Pelant
A metric space X is straight if for each finite cover of X by closed sets, and for each real valued function f on X, if f is uniformly continuous on each set of the cover, then f i…
math.GN2004★ 1 cited
Characterizing Subgroups of Compact Abelian Groups
Dikran Dikranjan, Kenneth Kunen
We prove that every countable subgroup of a compact metrizable abelian group has a characterizing set. As an application, we answer several questions on maximally almost periodic (…