Automatic continuity for homomorphisms into free products
classification
🧮 math.GR
math.LO
keywords
freeproductcompletelydiscretegroupmetrizabletopologyautomatic
read the original 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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