Topological Dimension and Dynamical Systems

• Κύριος συγγραφέας: Coornaert, Michel (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Σειρά: Universitext,
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Topology.; Dynamical Systems and Ergodic Theory.

Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov. The book examines how this invariant was successfully used by Elon Lindenstrauss and Benja...

Πίνακας περιεχομένων:

• Topological Dimension
• Zero-Dimensional Spaces
• Topological Dimension of Polyhedra
• Dimension and Maps
• Some Classical Counterexamples
• Mean Topological Dimension for Continuous Maps
• Shifts and Subshifts over Z
• Applications of Mean Dimension to Embedding Problems
• Amenable Groups
• Mean Topological Dimension for Actions of Amenable Groups.