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    • openAccess   Nonmeasurable subgroups of compact groups 

      Hernández, Salvador; Hofmann, Karl Heinrich; Morris, Sidney A. Walter de Gruyter GmbH (2015-10)
      In 1985 S. Saeki and K. Stromberg published the following question: Does every infinite compact group have a subgroup which is not Haar measurable? An affirmative answer is given for all compact groups with the exception ...

    • openAccess   The weights of closed subgroups of a locally compact group 

      Hernández, Salvador; Hofmann, Karl Heinrich; Morris, Sidney A. Walter de Gruyter (2012)
      Let G be an infinite locally compact group and let @ be a cardinal satisfying @0 @ w.G/ for the weight w.G/ of G. It is shown that there is a closed subgroup N of G with w.N / D @. Sample consequences are: (1) Every ...