This book provides a quick yet detailed introduction to set theory and forcing, building the reader's intuition about it as well as rigorousness. Part II discusses contemporary issues in the theory of forcing, including previously unpublished results and open questions.
This book provides a quick yet detailed introduction to set theory and forcing, building the reader's intuition about it as well as rigorousness. Part II discusses contemporary issues in the theory of forcing, including previously unpublished results and open questions.
Mirna Damonja is an Associate Member at Institut d'Histoire et de Philosophie des Sciences et des Techniques, Université Panthéon-Sorbonne. She works in logic, particularly set theory. The winner of a Lady Davis Fellowship and an EPSRC Advanced Fellowship, she wrote Théorie des ensembles pour les philosophes (2017). After years as a Full University Professor, she now researches and teaches logic in various international organisations.
Inhaltsangabe
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.
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.
Es gelten unsere Allgemeinen Geschäftsbedingungen: www.buecher.de/agb
Impressum
www.buecher.de ist ein Shop der buecher.de GmbH & Co. KG Bürgermeister-Wegele-Str. 12, 86167 Augsburg Amtsgericht Augsburg HRA 13309
