AbstractGiven a linear non-discrete topology λ on the integers, we show that there exists a strictly finer metrizable locally quasi-convex group topology τ on Z such that (Z,λ)∧=(Z,τ)∧ (algebraically). Applying this result to the p-adic topology on Z, we give a negative answer to the question of Dikranjan, asking whether this topology is Mackey
We study the Zariski topology Z_G, the Markov topology M_G and the precompact Markov topology P_G of...
AbstractWe study the Zariski topology ZG, the Markov topology MG and the precompact Markov topology ...
For a locally quasi-convex topological abelian group (G,τ), we study the poset \(\mathscr{C}(G,τ)\) ...
The aim of this paper is to prove that the usual topology in Q inherited from the real line is not a...
Inspired by the well-known Mackey-Arens Theorem from functional analysis, Chasco, Martín Peinador an...
The present paper is a contribution to fill in a gap existing between the theory of topological vect...
A counterpart of the Mackey–Arens Theorem for the class of locally quasi-convex topological Abelian ...
[EN] In this paper we give two families of non-metrizable topologies on the group of the integers ha...
The class of all locally quasi-convex (lqc) abelian groups contains all locally convex vector spaces...
In this paper we give two families of non-metrizable topologies on the group of the integers having ...
The notion of locally quasi-convex abelian group, introduced by Vilenkin, is extended to maximally a...
AbstractTwo non-discrete Hausdorff group topologies τ1, τ2 on a group G are called transversal if th...
For a locally quasi-convex topological abelian group (G,τ), we study the poset (mathscr{C}(G,τ)) of ...
AbstractThe application of a general locally convex differentiation theory (Stroyan, Trans. Amer. Ma...
AbstractWe prove that the asterisk topologies on the direct sum of topological Abelian groups, used ...
We study the Zariski topology Z_G, the Markov topology M_G and the precompact Markov topology P_G of...
AbstractWe study the Zariski topology ZG, the Markov topology MG and the precompact Markov topology ...
For a locally quasi-convex topological abelian group (G,τ), we study the poset \(\mathscr{C}(G,τ)\) ...
The aim of this paper is to prove that the usual topology in Q inherited from the real line is not a...
Inspired by the well-known Mackey-Arens Theorem from functional analysis, Chasco, Martín Peinador an...
The present paper is a contribution to fill in a gap existing between the theory of topological vect...
A counterpart of the Mackey–Arens Theorem for the class of locally quasi-convex topological Abelian ...
[EN] In this paper we give two families of non-metrizable topologies on the group of the integers ha...
The class of all locally quasi-convex (lqc) abelian groups contains all locally convex vector spaces...
In this paper we give two families of non-metrizable topologies on the group of the integers having ...
The notion of locally quasi-convex abelian group, introduced by Vilenkin, is extended to maximally a...
AbstractTwo non-discrete Hausdorff group topologies τ1, τ2 on a group G are called transversal if th...
For a locally quasi-convex topological abelian group (G,τ), we study the poset (mathscr{C}(G,τ)) of ...
AbstractThe application of a general locally convex differentiation theory (Stroyan, Trans. Amer. Ma...
AbstractWe prove that the asterisk topologies on the direct sum of topological Abelian groups, used ...
We study the Zariski topology Z_G, the Markov topology M_G and the precompact Markov topology P_G of...
AbstractWe study the Zariski topology ZG, the Markov topology MG and the precompact Markov topology ...
For a locally quasi-convex topological abelian group (G,τ), we study the poset \(\mathscr{C}(G,τ)\) ...
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