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Automatic Continuity for Homomorphisms into Free Products
Published online by Cambridge University Press: 12 March 2014
Abstract
A homomorphism from a completely metrizable topological group into a free product of groups whose image is not contained in a factor of the free product is shown to be continuous with respect to the discrete topology on the range. In particular, any completely metrizable group topology on a free product is discrete.
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- Copyright © Association for Symbolic Logic 2013
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