2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79033We define two equivalent notions of twisted stable map from a curve to a Deligne-Mumford stack with projective moduli space, and we prove that twisted stable maps of fixed degree form a complete Deligne-Mumford stack with projective moduli space.34 pages; Latex 2e. The following devices were used to reduce the authors' publication count: 1. new section on canonical contractions and functoriality added, and 2. introduction expanded based on our research announcement math.AG/9811059Algebraic Geometry14H10; 14H30; 14D22text