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Integración con respecto a la característica de Euler-Poincaré
- Autor/a
- Mosquera Lois, David
The aim of this dissertation is to develop an integration theory
against the Euler-Poincaré characteristic. Several families of
topological spaces and definitions of the Euler characteristic for
them are introduced, mainly a combinatorial and a (co)homological
definition. Integration against Euler-Poincaré characteristic is
defined and several properties are discussed. Finally, applications
of the theory previously exposed are studied, both in the context of
target enumeration in sensor networks and in Geometry and Topology.
Particularly, alternative proofs of the Riemann-Hurwitz formula and
of the characteristic of a fiber bundle are presented. Furthermore,
it is introduced a generalization of the class of spaces for which
the integration against the Euler characteristic is defined.
Data sheet
- Edition
- 1
- Publication place
- Santiago de Compostela
- Editorial
- Universidade de Santiago de Compostela. Servizo de Publicacións e Intercambio Científico
- Publication Year
- 07/03/2018
- File Size
- 1.3 MB
- Serie
- 133a Publicaciones del Departamento de Geometría y Topología
- ISBN
- 9788489390508
- Availability
- Si