Differential relations with delay

Abstract

In this thesis we present an h-principle for a non-local differential relations, the d-delay relation. This result serves in part as a proof of concept for h-principles for more general non-local differential relations. We also present a version of convex integration for a class of non-local differential relations (including the d-delay relation). We also present some technical results about transversality, which extend the classical Thom and multijet transversality theorems.