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arXiv · 1212.1596

Automatic continuity for homomorphisms into free products

Konstantin Slutsky
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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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Konstantin Slutsky. 2013-06-11. Automatic continuity for homomorphisms into free products. https://arxiv.org/abs/1212.1596

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