# The Unitary Group In Its Strong Topology

Authors
Type
Preprint
Publication Date
Sep 23, 2013
Submission Date
Sep 23, 2013
Identifiers
arXiv ID: 1309.5891
Source
arXiv
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.