2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78614We classify the path-components of the space of circle-valued Morse functions on compact surfaces: two Morse functions $f, g: M\to S^1$ belong to same path-component of this space if and only if they are homotopic and have equal numbers of critical points at each index.10 pages, 1 figureGeometric Topology57M99; 46N99text