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arXiv · 1710.04787

A note on automatic continuity

Gregory R. Conner·Samuel M. Corson
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Abstract

We present new results regarding automatic continuity, unifying some diagonalization concepts that have been developed over the years. For example, any homomorphism from a completely metrizable topological group to Thompson's group $F$ has open kernel. A similar claim holds when $F$ is replaced with a Baumslag-Solitar group or a torsion-free word hyperbolic group.

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Gregory R. Conner, Samuel M. Corson. 2017-10-13. A note on automatic continuity. https://arxiv.org/abs/1710.04787

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