On the topological proof of the Mumford conjecture
This 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...
- Autores:
-
Mejía Gómez, Tomás
- Tipo de recurso:
- Fecha de publicación:
- 2018
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/64092
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/64092
http://bdigital.unal.edu.co/64851/
- Palabra clave:
- 5 Ciencias naturales y matemáticas / Science
51 Matemáticas / Mathematics
Mumford’s conjecture
Group completion
Plus construction
Madsen-Weiss theorem
Infinite loop spaces
Conjetura de Mumford
Teorema de Madsen-Weiss
Espacios de bucle infinitos
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | This 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. |
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