Topological symplectic manifolds and bi-Lipschitz structures
Abstract
We show that a topological symplectic manifold has a canonically associated bi-Lipschitz structure. As a corollary, we obtain the first examples of non-existence and non-uniqueness for topological symplectic structures. Our arguments hold for any topological manifold admitting an atlas with transition maps that are C0--limits of bi-Lipschitz homeomorphisms.
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