Automatic continuity for homomorphisms into free products
Group Theory
2013-06-12 v2 Logic
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.
Cite
@article{arxiv.1212.1596,
title = {Automatic continuity for homomorphisms into free products},
author = {Konstantin Slutsky},
journal= {arXiv preprint arXiv:1212.1596},
year = {2013}
}
Comments
15 pages, 1 table. Final version. To appear in the Journal of Symbolic Logic