  In this paper we give three applications of a method to prove h-principles on
closed manifolds. Under weaker conditions this method proves a homological
h-principle, under stronger conditions it proves a homotopical one. The three
applications are as follows: a homotopical version of Vassiliev's h-principle,
the contractibility of the space of framed functions, and a version of
Mather-Thurston theory.
