Combinatorial Set Theory
with a gentle introduction to forcing
$451.37
- Hardcover
456 pages
- Release Date
9 December 2011
Summary
This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed by Paul Cohen, is explained in great detail. With this technique, one can show that certain statements, like the continuum hypothesis, are neithe…
Book Details
| ISBN-13: | 9781447121725 |
|---|---|
| ISBN-10: | 1447121724 |
| Author: | Lorenz J. Halbeisen |
| Publisher: | Springer London Ltd |
| Imprint: | Springer London Ltd |
| Format: | Hardcover |
| Number of Pages: | 456 |
| Edition: | 2012th |
| Release Date: | 9 December 2011 |
| Weight: | 869g |
| Dimensions: | 235mm x 155mm |
| Series: | Springer Monographs in Mathematics |
You Can Find This Book In
What They're Saying
Critics Review
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)
Returns
This item is eligible for free returns within 30 days of delivery. See our returns policy for further details.