2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78804In two previous papers with Yi-Jen Lee, we defined and computed a notion of Reidemeister torsion for the Morse theory of closed 1-forms on a finite dimensional manifold. The present paper gives an a priori proof that this Morse theory invariant is a topological invariant. It is hoped that this will provide a model for possible generalizations to Floer theory.42 pages, LateX2e; some corrections, improved expositionDifferential GeometryDynamical SystemsSymplectic Geometry57R70Reidemeister torsion in generalized Morse theorytext