The Stacey-Roberts Lemma for Banach Manifolds

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Kristel, Peter, Schmeding, Alexander
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/213178
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Stacey-Roberts Lemma for Banach Manifolds. Peter Kristel and Alexander Schmeding. SIGMA 21 (2025), 037, 20 pages

The Stacey-Roberts lemma states that a surjective submersion between finite-dimensional manifolds induces a submersion of smooth mappings on infinite-dimensional manifolds by pushforward. This result is foundational for many constructions in infinite-dimensional differential geometry, such as the co...