Completeness of infinite-dimensional Lie groups in their left uniformity
Helge Glockner
TL;DR
This paper proves the completeness of key examples of infinite-dimensional Lie groups and related topological groups, advancing understanding of their topological structure.
Contribution
It establishes the completeness property for important classes of infinite-dimensional Lie groups, which was previously unverified.
Findings
Main examples of infinite-dimensional Lie groups are complete in their left uniformity.
Completeness results extend to some related topological groups.
Provides foundational insights into the structure of infinite-dimensional Lie groups.
Abstract
We prove completeness for the main examples of infinite-dimensional Lie groups and some related topological groups.
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