Overview
- Provides a comprehensive introduction to the sophisticated technique of forcing
- Complete proofs of famous results are given, for instance, Robinson’s construction of doubling the unit ball using just five pieces
- Offers an extensive list of references, historical remarks and related results
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (27 chapters)
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Front Matter
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Topics in Combinatorial Set Theory
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Front Matter
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The Setting
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Topics in Combinatorial Set Theory
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Front Matter
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From Martin’s Axiom to Cohen’s Forcing
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Front Matter
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Keywords
About this book
Reviews
From the reviews:
“The text is very well organised; each chapter ends with useful notes containing much historical background and the source of the main results, together with reports on related results and the references. The beautifully written book is intended for students on graduate courses in axiomatic set theory, and it is also excellent as a text for self-study.” (Peter Shiu, The Mathematical Gazette, Vol. 98 (541), March, 2014)
“The book under review provides a thorough and nicely written account of combinatorial set theory and infinite Ramsey theory together with a treatment of the underlying set theoretical axioms as well as of sophisticated methods which are involved in proving independence results. … I can recommend this book to all graduate students, PostDocs, and researchers who are interested in set theoretical combinatorics … . also mathematicians from other areas who are interested in the foundational aspects of their subject will enjoy this book.” (Ralf Schindler, Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 115, 2013)
“This book provides a self-contained introduction to axiomatic set theory with main focus on infinitary combinatorics and the forcing technique. It is intended as a textbook in courses as well as for self-study. … The author gives the historical background and the sources of the main results in the Notes of each chapter. He also gives hints for further studies in his sections ‘Related results’.” (Martin Weese, Zentralblatt MATH, Vol. 1237, 2012)
Authors and Affiliations
Bibliographic Information
Book Title: Combinatorial Set Theory
Book Subtitle: With a Gentle Introduction to Forcing
Authors: Lorenz J. Halbeisen
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-1-4471-2173-2
Publisher: Springer London
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag London Limited 2012
Hardcover ISBN: 978-1-4471-2172-5Published: 09 December 2011
eBook ISBN: 978-1-4471-2173-2Published: 24 November 2011
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XVI, 456