Introduction to Ramsey Spaces - Couverture rigide

Todorcevic, Stevo

Couverture rigide

ISBN 10 : 0691145415 ISBN 13 : 9780691145419

Editeur : Princeton University Press, 2010

Synopsis

Ramsey theory is a fast-growing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. The area of Ramsey theory dealing with Ramsey-type phenomena in higher dimensions is particularly useful. "Introduction to Ramsey Spaces" presents in a systematic way a method for building higher-dimensional Ramsey spaces from basic one-dimensional principles. It is the first book-length treatment of this area of Ramsey theory, and emphasizes applications for related and surrounding fields of mathematics, such as set theory, combinatorics, real and functional analysis, and topology. In order to facilitate accessibility, the book gives the method in its axiomatic form with examples that cover many important parts of Ramsey theory both finite and infinite. An exciting new direction for combinatorics, this book will interest graduate students and researchers working in mathematical subdisciplines requiring the mastery and practice of high-dimensional Ramsey theory.

A propos du livre

À propos de l'auteur

Stevo Todorcevic is professor of mathematics at the University of Toronto and holds senior research positions at the CNRS in Paris and SANU in Belgrade. He is the author or coauthor of several books, including "Walks on Ordinals and Their Characteristics" and "Ramsey Methods in Analysis".

Détails de l'édition

• Éditeur: Princeton University Press
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 0691145415
• ISBN 13: 9780691145419
• Reliure: Relié
• Nombre de pages: 296
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible