3 papers
math.DG2025
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.AT2024
The stringor bundle
Peter Kristel, Matthias Ludewig, Konrad Waldorf
We set up a framework of 2-Hilbert bundles, which allows to rigorously define the "stringor bundle", a higher differential geometric object anticipated by Stolz and Teichner in an…