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arXiv · 1508.00775

An Open Mapping Theorem

S. S. Gabriyelyan·S. A. Morris
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Abstract

It is proved that any surjective morphism $f: \mathbb{Z}^κ\to K$ onto a locally compact group $K$ is open for every cardinal $κ$. This answers a question posed by Karl Heinrich Hofmann and the second author.

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S. S. Gabriyelyan, S. A. Morris. 2015-08-04. An Open Mapping Theorem. https://doi.org/10.1017/s000497271500146x

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