Equivariant algebraic topology applied to some problems in topological combinatorics
In this thesis we present several results on geometric combinatorics whose solution can be achieved by means of results and tools from algebraic topology. The combinatorial problems are related to known problems as the topological Borsuk problem, equilateral sets in metric spaces, Tverberg type prob...
- Autores:
-
Borja Soto, Jerson Manuel
- Tipo de recurso:
- Doctoral thesis
- Fecha de publicación:
- 2016
- Institución:
- Universidad de los Andes
- Repositorio:
- Séneca: repositorio Uniandes
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniandes.edu.co:1992/38707
- Acceso en línea:
- http://hdl.handle.net/1992/38707
- Palabra clave:
- Topología algebraica - Investigaciones
Geometría combinatoria - Investigaciones
Análisis combinatorio - Investigaciones
Teoría del índice (Matemáticas) - Investigaciones
Teoría-K - Investigaciones
Característica de Euler
Matemáticas
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-sa/4.0/
| Summary: | In this thesis we present several results on geometric combinatorics whose solution can be achieved by means of results and tools from algebraic topology. The combinatorial problems are related to known problems as the topological Borsuk problem, equilateral sets in metric spaces, Tverberg type problems, evasiveness of graph properties, etc. Among the results and tools used in the solutions of these problems we find theorems of Borsuk-Ulam and Dold, theorems of Smith and Oliver, group cohomology, cohomology theories, numerical and cohomological index theories |
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