The abelian subgroup conjecture: A counter example.
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Herfort, Wolfgang (2002)
Journal of Lie Theory
J.W., Jr. Kitchen (1968)
Monatshefte für Mathematik
George M. Bergman (1987)
Manuscripta mathematica
Tammo tom Dieck (1975)
Mathematische Annalen
William Wistar Comfort, S. U. Raczkowski, F. Javier Trigos-Arrieta (2004)
Czechoslovak Mathematical Journal
Throughout this abstract, is a topological Abelian group and is the space of continuous homomorphisms from into the circle group in the compact-open topology. A dense subgroup of is said to determine if the (necessarily continuous) surjective isomorphism given by is a homeomorphism, and is determined if each dense subgroup of determines . The principal result in this area, obtained independently by L. Außenhofer and M. J. Chasco, is the following: Every metrizable group is...
M. Ferrer, S. Hernández, V. Uspenskij (2013)
Commentationes Mathematicae Universitatis Carolinae
For any topological group the dual object is defined as the set of equivalence classes of irreducible unitary representations of equipped with the Fell topology. If is compact, is discrete. In an earlier paper we proved that is discrete for every metrizable precompact group, i.e. a dense subgroup of a compact metrizable group. We generalize this result to the case when is an almost metrizable precompact group.
Rosales, Edixo (1999)
Divulgaciones Matemáticas
Nobuo Aoki, Masahito Dateyama (1983)
Fundamenta Mathematicae
Graeme Segal (1968)
Publications Mathématiques de l'IHÉS
Kelly McKennon (1979)
Journal für die reine und angewandte Mathematik
E. Hewitt, K.A. Ross (1969)
Jahresbericht der Deutschen Mathematiker-Vereinigung
Guido Mislin, Jacques Thévenanz (1991)
Mathematische Annalen
L. Stojanov (1984)
Mathematische Zeitschrift
Joseph Rosenblatt (1977)
Fundamenta Mathematicae
Louis Pigno (1977)
Mathematica Scandinavica
Ronald L. Lipsman (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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