2 citations · 3 across the 3 of their papers we have counts for
5 papers
Long colimits of topological groups IV: Spaces with socks
Rafael Dahmen, Gábor Lukács
The group of compactly supported homeomorphisms on a Tychonoff space can be topologized in a number of ways, including as a colimit of homeomorphism groups with a given compact sup…
Long colimits of topological groups III: Homeomorphisms of products and coproducts
Rafael Dahmen, Gábor Lukács
The group of compactly supported homeomorphisms on a Tychonoff space can be topologized in a number of ways, including as a colimit of homeomorphism groups with a given compact sup…
Long colimits of topological groups I: Continuous maps and homeomorphisms
Rafael Dahmen, Gábor Lukács
The union of a directed family of topological groups can be equipped with two noteworthy topologies: the finest topology making each injection continuous, and the finest group topo…
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…
Lifted closure operators
Gábor Lukács
In this paper, we study the properties of closure operators obtained as initial lifts along a reflector, and compactness with respect to them in particular. Applications in the are…