Fast track to forcing
Author(s)
Bibliographic Information
Fast track to forcing
（London Mathematical Society student texts, 98）
Cambridge University Press, 2021
- : hardback
Available at / 10 libraries
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hardbackDZA||1||1200040941465
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references (p. 137-143) and index
Description and Table of Contents
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 It includes known and some previously unpublished results as well as many open questions.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.
Table of Contents
- 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.
by "Nielsen BookData"
