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math.DG2024
The Stacey-Roberts Lemma for Banach Manifolds
Peter Kristel, Alexander Schmeding
The Stacey-Roberts lemma states that a surjective submersion between finite-dimensional manifolds gives rise to a submersion on infinite-dimensional manifolds of smooth mappings by…
math.CT2024
A Topologically Enriched Probability Monad on the Cartesian Closed Category of CGWH Spaces
Peter Kristel, Benedikt Peterseim
Probability monads on categories of topological spaces are classical objects of study in the categorical approach to probability theory, with important applications in the semantic…
math.DG2024
How an action that stabilizes a bundle gerbe gives rise to a Lie group extension
Bas Janssens, Peter Kristel
Let be a bundle gerbe with connection on a smooth manifold , and let be a smooth action of a Fréchet--Lie group on $M…