Brown's representability theorem and branched coverings
It is well known that Brown's Representability Theorem has many applications. The proof of the existence of a universal bundle for a topological group (see [4]) and the proof that any space can be approximated by CWcomplexes (see [8]) are among those applications. Here we prove the existence of...
- Autores:
-
Tejada, Débora María
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1994
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/43490
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/43490
http://bdigital.unal.edu.co/33588/
- Palabra clave:
- Manifolds
branched coverings
classification spaces
homotopy groups
CW-complexes
simplicial complexes
universal bundles
categones and functors
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | It is well known that Brown's Representability Theorem has many applications. The proof of the existence of a universal bundle for a topological group (see [4]) and the proof that any space can be approximated by CWcomplexes (see [8]) are among those applications. Here we prove the existence of classifying spaces for branched coverings over CW-complexes using Brown's Theorem as the main tool. |
|---|