Overview
- Helps young mathematicians to enter a very active area of research lying on the borderline between analysis and combinatorics
- Description of a general method of building norms with desired properties, a method that is clearly relevant when testing any sort of intuition about the infinite-dimensional geometry of Banach spaces
- Includes supplementary material: sn.pub/extras
Part of the book series: Advanced Courses in Mathematics - CRM Barcelona (ACMBIRK)
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Table of contents(18 chapters)
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Saturated and Conditional Structures in Banach Spaces
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High-Dimensional Ramsey Theory and Banach Space Geometry
About this book
Reviews
"This book is the result of lectures given by the authors aimed at bringing young researchers to the forefront of a ‘very active research area lying on the borderline between analysis and combinatorics’…This book will certainly be appreciated by experts. It is also valuable for young researchers who are suitably prepared and wish to work in this amazing area." —Mathematical Reviews
"The book is carefully written with clear exposition of the material. It can be studied by graduate students who had a first course in functional analysis and are interested in either functional analysis or Ramsey theory." —Zentralblatt MATH
Authors and Affiliations
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Department of Mathematics, National Technical University, Greece
Spiros A. Argyros
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U.M.R. 7057, Université Paris 7 — C.N.R.S., Paris Cedex 05, France
Stevo Todorcevic
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Department of Mathematis, University of Toronto, Toronto, Canada
Stevo Todorcevic
Bibliographic Information
Book Title: Ramsey Methods in Analysis
Authors: Spiros A. Argyros, Stevo Todorcevic
Series Title: Advanced Courses in Mathematics - CRM Barcelona
DOI: https://doi.org/10.1007/3-7643-7360-1
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2005
Softcover ISBN: 978-3-7643-7264-4
eBook ISBN: 978-3-7643-7360-3
Series ISSN: 2297-0304
Series E-ISSN: 2297-0312
Edition Number: 1
Number of Pages: VI, 257
Topics: Functional Analysis, Combinatorics