Fast Track to Forcing
Autor Mirna Dzamonjaen Limba Engleză Paperback – 15 oct 2020
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Specificații
ISBN-13: 9781108413145
ISBN-10: 1108413145
Pagini: 200
Dimensiuni: 152 x 229 x 9 mm
Greutate: 0.25 kg
Editura: Cambridge University Press
Locul publicării:Cambridge, United Kingdom
ISBN-10: 1108413145
Pagini: 200
Dimensiuni: 152 x 229 x 9 mm
Greutate: 0.25 kg
Editura: Cambridge University Press
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.
Descriere
For those who wonder if the forcing theory is beyond their means: no. Directions to research in forcing are given.