2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78222The Novikov complex of a circle-valued Morse function is constructed algebraically from the Morse-Smale complex of the restriction to a fundamental domain of the real-valued Morse function on the pullback infinite cyclic cover.49 pages, amstex, with pictex and xypic diagrams. Revision of 1999 version, to appear in Mathematische AnnalenAlgebraic TopologyDifferential GeometryK-Theory and Homology58E05;57R19The algebraic construction of the Novikov complex of a circle-valued Morse functiontext