SØG - mellem flere end 8 millioner bøger:
Viser: Cantor Minimal Systems
Cantor Minimal Systems
Ian F. Putnam
(2018)
Sprog: Engelsk
American Mathematical Society
726,00 kr.
ikke på lager, Bestil nu og få den leveret
om ca. 10 hverdage
om ca. 10 hverdage
Detaljer om varen
- Paperback: 184 sider
- Udgiver: American Mathematical Society (April 2018)
- ISBN: 9781470441159
Within the subject of topological dynamics, there has been considerable recent interest in systems where the underlying topological space is a Cantor set. Such systems have an inherently combinatorial nature, and seminal ideas of Anatoly Vershik allowed for a combinatorial model, called the Bratteli-Vershik model, for such systems with no non-trivial closed invariant subsets. This model led to a construction of an ordered abelian group which is an algebraic invariant of the system providing a complete classification of such systems up to orbit equivalence. The goal of this book is to give a statement of this classification result and to develop ideas and techniques leading to it. Rather than being a comprehensive treatment of the area, this book is aimed at students and researchers trying to learn about some surprising connections between dynamics and algebra. The only background material needed is a basic course in group theory and a basic course in general topology.
An example: A tale of two equivalence relations Basics: Cantor sets and orbit equivalence Bratteli diagrams: Generalizing the example The Bratteli-Vershik model: Generalizing the example The Bratteli-Vershik model: Completeness Etale equivalence relations: Unifying the examples The $D$ invariant The Effros-Handelman-Shen theorem The Bratteli-Elliott-Krieger theorem Strong orbit equivalence The $D_m$ invariant The absorption theorem The classification of AF-equivalence relations The classification of $\mathbb{Z}$-actions Examples Bibliography
Index of terminology
Index of notation
Index of terminology
Index of notation
De oplyste priser er inkl. moms
Butikker og åbningstid
Handler du som firma
Forretningsbetingelser
Porto og forsendelse
Data & cookiepolitik
Handler du som firma
Forretningsbetingelser
Porto og forsendelse
Data & cookiepolitik
Polyteknisk Boghandel og Forlag A/S - Anker Engelundsvej 1 - 2800 Lyngby
Tlf 77 42 43 44 - email poly@polyteknisk.dk - CVR 34072655 - Sydbank Reg: 6748 Konto 0001107927
Tlf 77 42 43 44 - email poly@polyteknisk.dk - CVR 34072655 - Sydbank Reg: 6748 Konto 0001107927