Configuration spaces, multijet transversality, and the square-peg problem
Configuration spaces, multijet transversality, and the square-peg problem
We prove a transversality "lifting property" for compactified configuration spaces as an application of the multijet transversality theorem: given a submanifold of configurations of points on an embedding of a compact manifold M in Euclidean space, we can find a dense set of smooth embeddings of M for which the …