An Axiom of Lift for classes of dynamical systems is formulated. It is shown to imply the Closing Lemma. The Lift Axiom is then verified for dynamical systems ranging from C 1 diffeomorphisms to C 1 Hamiltonian vector fields.
No takes yet. Share an insight, caveat, or question.
Pugh et al. (1983) studied this question.
Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context: