
A Guide to NIP Theories
Pierre Simon(Author)
Cambridge University Press
Published on 16. July 2015
Book
Hardback
166 pages
978-1-107-05775-3 (ISBN)
Description
The study of NIP theories has received much attention from model theorists in the last decade, fuelled by applications to o-minimal structures and valued fields. This book, the first to be written on NIP theories, is an introduction to the subject that will appeal to anyone interested in model theory: graduate students and researchers in the field, as well as those in nearby areas such as combinatorics and algebraic geometry. Without dwelling on any one particular topic, it covers all of the basic notions and gives the reader the tools needed to pursue research in this area. An effort has been made in each chapter to give a concise and elegant path to the main results and to stress the most useful ideas. Particular emphasis is put on honest definitions, handling of indiscernible sequences and measures. The relevant material from other fields of mathematics is made accessible to the logician.
Reviews / Votes
'This book presents NIP theories as a rich and coherent subject, showing a field with a considerable degree of development, particularly taking into account how recent most of the results are. Also, the author made a clear effort in presenting the most elegant proofs he could find, making this a very valuable book and accessible for any reader who understands model theory ...' Alf Onshuus, Mathematical ReviewsMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 14 mm
Weight
401 gr
ISBN-13
978-1-107-05775-3 (9781107057753)
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Schweitzer Classification
Other editions
Additional editions

Pierre Simon
Guide to NIP Theories
E-Book
07/2015
Cambridge University Press
€93.99
Available for download

Pierre Simon
A Guide to NIP Theories
E-Book
07/2015
Cambridge University Press
€107.99
Available for download
Person
Pierre Simon is Charge de recherche, CNRS, at Universite Lyon 1, France. He completed his PhD at Universite Paris-Sud, Orsay under the supervision of Elisabeth Bourscaren. His thesis, 'Ordre et stabilite dans les theories NIP', received the 2012 Sacks Prize for the best thesis in logic that year as well as the Perrissin-Pirasset/Schneider prize from the Chancellerie des Universites de Paris.
Content
1. Introduction; 2. The NIP property and invariant types; 3. Honest definitions and applications; 4. Strong dependence and dp-ranks; 5. Forking; 6. Finite combinatorics; 7. Measures; 8. Definably amenable groups; 9. Distality; Appendix A. Examples of NIP structures; Appendix B. Probability theory; References; Index.