Fast Track to Forcing
Published on 7. October 2020
978-1-108-35196-6 (ISBN)
Description
This quick yet detailed introduction to set theory and forcing builds the reader's intuition about it as much as the mathematical detail. Intuition, rather absent from the existing literature on the subject, here plays a large role. The reader will not only learn the facts, but will understand why they are true and will be brought to ask: what else could be true? Having presented forcing in Part I, the second part of the book discusses contemporary issues in the theory of forcing. It includes known and some previously unpublished results as well as many open questions. This is ideal for those who want to start a research career in forcing but do not have a personal interlocutor. Obviously, not everything about forcing is in this book. Many references are included to help the reader further explore the vast amount of research literature available on the subject.
Reviews / Votes
'... a rare book written for non-specialists that describes recent developments in set theory without assuming any knowledge. It will be an excellent resource for people who want to know current research in this field.' Tetsuya Ishiu, zbMATH OpenMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises
File size
1,05 MB
ISBN-13
978-1-108-35196-6 (9781108351966)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Mirna Dzamonja
Fast Track to Forcing
Book
10/2020
Cambridge University Press
€49.50
Shipment within 15-20 days
Mirna Dzamonja
Fast Track to Forcing
Book
10/2020
Cambridge University Press
€98.50
Shipment within 15-20 days
Content
Part I. Let's Be Independent: 1. Introduction; 2. Axiomatic Systems; 3. Zermelo-Fraenkel Axioms and the Axiom of Choice; 4. Well Orderings and Ordinals; 5. Cardinals; 6. Models and Independence; 7. Some Class Models of ZFC; 8. Forcing; 9. Violating CH; Part II. What Is New in Set Theory: 10. Introduction to Part Two; 11. Classical Extensions; 12. Iterated Forcing and Martin's Axiom; 13. Some More Large Cardinals; 14. Limitations of Martin's Axiom and Countable Supports; 15. Proper Forcing and PFA; 16. $aleph_2$ and other Successors of Regulars; 17. Singular Cardinal Hypothesis and some PCF; 18. Forcing at Singular Cardinals and their Successors; References; Index.
