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arXiv · 1309.5891

The Unitary Group In Its Strong Topology

Martin Schottenloher
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Abstract

The unitary group $\mathrm U(\mathcal H)$ on an infinite dimensional complex Hilbert space $\mathcal H$ in its strong topology is a topological group and has some further nice properties, e.g. it is metrizable and contractible if $\mathcal H$ is separable. As an application Hilbert bundles are classified by homotopy.

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Martin Schottenloher. 2013-09-23. The Unitary Group In Its Strong Topology. https://arxiv.org/abs/1309.5891

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