2 papers
math.AT2023
Non-linear proper Fredholm maps and the stable homotopy groups of spheres
Thomas O. Rot, Lauran Toussaint
We classify non-linear proper Fredholm maps between Hilbert spaces, up to proper homotopy, in terms of the stable homotopy groups of spheres. We show that there is a surjective map…
math.DG2021
Wrinkling h-principles for integral submanifolds of jet spaces
Álvaro del Pino, Lauran Toussaint
Y. Eliashberg and N. Mishachev introduced the notion of wrinkled embedding to show that any tangential homotopy can be approximated by a homotopy of topological embeddings with mil…