DIGITAL BOOKSHOP OF THE USC
Dinámica topológica de espacios de grafos
- Autor/a
- Herrero Vila, Sergio
The aim of this work is to study some aspects of the topological dynamics of Gromov-Hausdo spaces, which was first introduced by É. Ghys in [9]. To do so, we will need to generalize some concepts such as the notion of quasi-isometry (introduced by M. Gromov for graphs and metric spaces [12]) replaced by the notion of Kakutani equivalence, and also to adapt foliations on manifolds to more general topological spaces using laminations and spaces foliated by graphs.Most of these definitions are related with the same dynamical concept, pseudogroups of transformations, which will be deeply studied in chapters 2 and 3. This will be the central axis of our study. Furthermore, given a system of generators of the pseudogroup, we shall endow the orbits with graph structure (by an argument similar to the one we used to construct Cayley graphs) which will lead us to the notion of graphed pseudogroup.
Data sheet
- Edition
- 1
- Publication place
- Santiago de Compostela
- Publication Year
- 2022
- Serie
- 149a Publicaciones del Departamento de Geometría y Topología
- Availability
- Si
The aim of this work is to study some aspects of the topological dynamics of Gromov-Hausdo spaces, which was first introduced by É. Ghys in [9]. To do so, we will need to generalize some concepts such as the notion of quasi-isometry (introduced by M. Gromov for graphs and metric spaces [12]) replaced by the notion of Kakutani equivalence, and also to adapt foliations on manifolds to more general topological spaces using laminations and spaces foliated by graphs.Most of these definitions are related with the same dynamical concept, pseudogroups of transformations, which will be deeply studied in chapters 2 and 3. This will be the central axis of our study. Furthermore, given a system of generators of the pseudogroup, we shall endow the orbi