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Continuous homomorphisms of R onto a compact group
Authors:Douglas Bridges  Matthew Hendtlass
Institution:Mathematics and Statistics Department, University of Canterbury, Private Bag 4800, Christchurch, New Zealand
Abstract:It is shown within Bishop's constructive mathematics that, under one extra, classically automatic, hypothesis, a continuous homomorphism from R onto a compact metric abelian group is periodic, but that the existence of the minimum value of the period is not derivable (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Constructive mathematics  compact group  periodic
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