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math.GN2019★ 2 cited
Long colimits of topological groups II: Free groups and vector spaces
Rafael Dahmen, Gábor Lukács
Topological properties of the free topological group and the free abelian topological group on a space have been thoroughly studied since the 1940s. In this paper, we study the fre…
math.GN2019★ 5 cited
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…