A note on automatic continuity

Conner, Gregory; Corson, Samuel

doi:10.1090/proc/14242

A note on automatic continuity
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by Gregory R. Conner and Samuel M. Corson PDF

Proc. Amer. Math. Soc. 147 (2019), 1255-1268 Request permission

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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