Formulas and classes.- Axioms of Zermelo-Fraenkel.- Ordinal numbers.- Cardinal numbers.- Finite sets.- Real numbers.- Axiom of choice.- Cardinal arithmetic.- Axiom of regularity.- Transitive models.- Constructible sets.- Consistency of AC and GCH.- More on transitive models.- Ordinal definability.- Remarks on complete boolean algebras.- The method of forcing and boolean ¿ valued models.- Independence of the continuum hypothesis and collapsing of cardinals.- Two applications of boolean-valued models in the theory of boolean algebras.- Lebesgue measurability.- Suslin's problem.- Martin's axiom.- Perfect forcing.- Remark on ordinal definability.- Independence of AC.- Fraenkel-mostowski models.- Embedding of FM models in models of ZF.
| Autorius: | Thomas J. Jech |
| Serija: | Lecture Notes in Mathematics |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 1971 |
| Knygos puslapių skaičius: | 144 |
| ISBN-10: | 3540055649 |
| ISBN-13: | 9783540055648 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Mathematics |
Parašykite atsiliepimą apie „Lectures in Set Theory: With Particular Emphasis on the Method of Forcing“
