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Fast Track to Forcing: London Mathematical Society Student Texts, cartea 98

Autor Mirna Džamonja
en Limba Engleză Paperback – 14 oct 2020
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 It includes known and some previously unpublished results as well as many open questions.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.
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Specificații

ISBN-13: 9781108413145
ISBN-10: 1108413145
Pagini: 200
Dimensiuni: 153 x 230 x 10 mm
Greutate: 0.25 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Student Texts

Locul publicării:Cambridge, United Kingdom

Cuprins

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.

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Descriere

For those who wonder if the forcing theory is beyond their means: no. Directions to research in forcing are given.