Can I read The Stacey-Roberts Lemma for Banach manifolds on EtoBox?

The Stacey-Roberts Lemma for Banach manifolds by Kristel, Peter; Schmeding, Alexander is a scholarly article available to read on EtoBox.

What is The Stacey-Roberts Lemma for Banach manifolds about?

The Stacey-Roberts Lemma states that the pushforward of a surjective submersion between finite-dimensional manifolds gives rise to a submersion on infinite-dimensional manifolds of smooth mappings by pushforward. This result is foundational for many constructions in infinite-dimensional differential geometry such as the construction of Lie groupoids of smooth mappings. We generalise the Stacey-Roberts Lemma to Banach manifolds which admit smooth partitions of unity. The new approach also remedies an error in the original proof of the result for finite-dimensional target manifolds.

Author

Kristel, Peter; Schmeding, Alexander

Published

2024

Language

EN