If M is a connected manifold then the set of orientation preserving homeomorphisms of M that are isotopic to the identity acts $n$-transitively on M for all positive $n\in\mathbb{N}$. I know several ways to prove this. I do not want to include a proof of this well known fact in my article, instead I am looking for a reference to a book or article where this is stated and proved (preferentially in a style that is not discouraging for the reader). Up to now I have not found such a reference.
2026-03-17 10:19:54.1773742794
Reference for an easy lemma on homeomorphisms of connected manifolds
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