Atribución-NoComercial 4.0 InternacionalGómez Guerra, José Manuel (Thesis advisor)Mejía Gómez, Tomás2019-07-022019-07-022018https://repositorio.unal.edu.co/handle/unal/64092This dissertation is a introductory monograph on the topological viewpoint of Mumford’s conjecture. The first part studies the homotopy theoretical tools of infinite loop spaces, the Group Completion Theorem and the plus construction. The second part is a survey about the development of the problem from the original formulation of the conjecture to the Generalized Madsen-Weiss Theorem and its proof.application/pdfspaDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/5 Ciencias naturales y matemáticas / Science51 Matemáticas / MathematicsTrabajo de grado - Maestríahttp://bdigital.unal.edu.co/64851/info:eu-repo/semantics/openAccessMumford’s conjectureGroup completionPlus constructionMadsen-Weiss theoremInfinite loop spacesConjetura de MumfordTeorema de Madsen-WeissEspacios de bucle infinitos