Mirna Dzamonja

Fast Track to Forcing

• Gebundenes Buch

Produktbeschreibung

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

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 200
• Erscheinungstermin: 15. Oktober 2020
• Englisch
• Abmessung: 229mm x 152mm x 13mm
• Gewicht: 408g
• ISBN-13: 9781108420150
• ISBN-10: 110842015X
• Artikelnr.: 59644377

Autorenporträt

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.