Lectures in Set Theory
Format: Paperback
ISBN13: 9783540055648
Paperback|9783540055648
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Overview
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.
| ISBN-13 | 9783540055648 |
|---|---|
| ISBN-10 | 3540055649 |
| Weight | 0.47 Pounds |
| Dimensions | 6.10 x 0.33 x 9.25 In |
| List Price | $39.95 |
| Edition | 1st Edition |
| Format | Paperback |
|---|---|
| Language | English |
| Pages | viii, 140 pages |
| Publisher | Springer |
| Published On | 1971-01-01 |
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