Z_k-stratifolds

The present work brings together two important theories given by the Zk-manifolds from Sullivan and stratifolds from Kreck. We introduce the bordism theory of Zk-stratifolds in order to solve Steenrod?s problem for Zk-coefficients in an affirmative way. Finally, we present a geometric interpretation...

Full description

Autores:
Torres Galindo, Arley Fernando
Tipo de recurso:
Doctoral thesis
Fecha de publicación:
2018
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/41324
Acceso en línea:
http://hdl.handle.net/1992/41324
Palabra clave:
Topología algebraica
Topología diferencial - Investigaciones
Teoría homológica - Investigaciones
Homomorfismos (Matemáticas) - Investigaciones
Matemáticas
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-sa/4.0/
Description
Summary:The present work brings together two important theories given by the Zk-manifolds from Sullivan and stratifolds from Kreck. We introduce the bordism theory of Zk-stratifolds in order to solve Steenrod?s problem for Zk-coefficients in an affirmative way. Finally, we present a geometric interpretation of the Bockstein long exact sequence and the Atiyah-Hirzebruch spectral sequence for Zk-bordism (k odd).