44 citations · 357 across the 57 of their papers we have counts for
13 papers · 1 filter
A class of metrizable locally quasi-convex groups which are not Mackey
Dikran Dikranjan, Elena Martín Peinador, Vaja Tarieladze
A topological group from a class of MAP topological abelian groups will be called a {\it Mackey group} in if it has the following property: if …
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…
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…
Algebraic entropy of shift endomorphisms on abelian groups
Maryam Akhavin, Fatemah Ayatollah Zadeh Shirazi, Dikran Dikranjan +2
For every finite-to-one map and for every abelian group , the generalized shift of the direct sum is the endomorphism defined by $(x_i)_{i\inΓ}\ma…
On the quasi-component of pseudocompact abelian groups
D. Dikranjan, Gábor Lukács
In this paper, we describe the relationship between the quasi-component q(G) of a (perfectly) minimal pseudocompact abelian group G and the quasi-component q(\widetilde G) of its c…
Compact-like abelian groups without non-trivial quasi-convex null sequences
D. Dikranjan, Gábor Lukács
In this paper, we study precompact abelian groups G that contain no sequence {x_n} such that {0} \cup {\pm x_n : n \in N} is infinite and quasi-convex in G, and x_n --> 0. We chara…