2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56963This work is dedicated to some new exotic homological constructions associated with the different Morse-type inequalities for differential forms and vector fields. It contains also survey of ideas developed by the present author in 1986 for this goal.18 Pages, Latex, Theorem 1 is corrected, two more references addedMathematical PhysicsHigh Energy Physics - TheoryAlgebraic TopologyDifferential GeometryOn the exotic De-Rham cohomology. Perturbation theory as a spectral sequencetext