Displaying similar documents to “Erratum to: Cohomology of arithmetic groups with infinite dimensional coefficient spaces.”

Some aspects of nuclear vector groups

Lydia Außenhofer (2001)

Studia Mathematica

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In [2] W. Banaszczyk introduced nuclear groups, a Hausdorff variety of abelian topological groups which is generated by all nuclear vector groups (cf. 2.3) and which contains all nuclear vector spaces and all locally compact abelian groups. We prove in 5.6 that the Hausdorff variety generated by all nuclear vector spaces and all locally compact abelian groups (denoted by 𝒱₁) is strictly smaller than the Hausdorff variety of all nuclear groups (denoted by 𝒱₂). More...