14 citations · 36 across the 8 of their papers we have counts for
8 papers
Notes on duality theories of abelian groups
Gábor Lukács
In this notebook, I present duality theory (or theories) of abelian groups with some categorical and categorical topological flavour. I consider writing this notebook as a longer-t…
Hereditarily non-topologizable groups
Gábor Lukács
A group G is non-topologizable if the only Hausdorff group topology that G admits is the discrete one. Is there an infinite group G such that H/N is non-topologizable for every sub…
Bounded and unitary elements in pro-C^*-algebras
Rachid El Harti, Gábor Lukács
A pro-C^*-algebra is a (projective) limit of C^*-algebras in the category of topological *-algebras. From the perspective of non-commutative geometry, pro-C^*-algebras can be seen…
Almost maximally almost-periodic group topologies determined by T-sequences
Gábor Lukács
A sequence in a group is a {\em -sequence} if there is a Hausdorff group topology on such that . In this paper, we provide…
Precompact abelian groups and topological annihilators
Gábor Lukács
For a compact Hausdorff abelian group K and its subgroup H, one defines the g-closure g(H) of H in K as the subgroup consisting of such that in T…
On sequentially h-complete groups
Gábor Lukács
A topological group is {\em sequentially -complete} if all the continuous homomorphic images of are sequentially complete. In this paper we give necessary and sufficient…