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The following topics are covered:
¿ Forcing and constructability
¿ The Solovay-Shelah Theorem i.e. the equiconsistency of ¿every set of reals is Lebesgue measurable¿ with one inaccessible cardinal
¿ Fine structure theory and a modern approach to sharps
¿ Jensen¿s Covering Lemma
¿ The equivalence of analytic determinacy with sharps
¿ The theory of extenders and iteration trees
¿ A proof of projective determinacy from Woodin cardinals.
Set Theory requires only a basic knowledge of mathematical logic and will be suitable for advanced students and researchers.
The following topics are covered:
¿ Forcing and constructability
¿ The Solovay-Shelah Theorem i.e. the equiconsistency of ¿every set of reals is Lebesgue measurable¿ with one inaccessible cardinal
¿ Fine structure theory and a modern approach to sharps
¿ Jensen¿s Covering Lemma
¿ The equivalence of analytic determinacy with sharps
¿ The theory of extenders and iteration trees
¿ A proof of projective determinacy from Woodin cardinals.
Set Theory requires only a basic knowledge of mathematical logic and will be suitable for advanced students and researchers.
Ralf Schindler teaches at Universität Münster and is an expert in the field of set theory.
Ralf Schindler works mostly in the area of descriptive inner model theory. His results are on the construction of inner models and core models, on coding over core models and on applications of inner model theory to descriptive set theory and combinatorics. He isolated the concept of a "remarkable" cardinal.
Provides a fairly self-contained introduction to set theory, in particular to the theory of inner models and forcing
Presents essential aspects of set theory which are required in understanding modern developments of descriptive inner model theory
Includes proofs of landmark results at the interface of the theory of large cardinals and descriptive set theory
Includes supplementary material: [...]
| Erscheinungsjahr: | 2014 |
|---|---|
| Fachbereich: | Grundlagen |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 344 |
| Reihe: | Universitext |
| Inhalt: |
x
332 S. 10 s/w Illustr. 332 p. 10 illus. |
| ISBN-13: | 9783319067247 |
| ISBN-10: | 3319067249 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Schindler, Ralf |
| Auflage: | 2014 |
| Hersteller: |
Springer International Publishing
Universitext |
| Maße: | 235 x 155 x 19 mm |
| Von/Mit: | Ralf Schindler |
| Erscheinungsdatum: | 06.06.2014 |
| Gewicht: | 0,522 kg |
Ralf Schindler teaches at Universität Münster and is an expert in the field of set theory.
Ralf Schindler works mostly in the area of descriptive inner model theory. His results are on the construction of inner models and core models, on coding over core models and on applications of inner model theory to descriptive set theory and combinatorics. He isolated the concept of a "remarkable" cardinal.
Provides a fairly self-contained introduction to set theory, in particular to the theory of inner models and forcing
Presents essential aspects of set theory which are required in understanding modern developments of descriptive inner model theory
Includes proofs of landmark results at the interface of the theory of large cardinals and descriptive set theory
Includes supplementary material: [...]
| Erscheinungsjahr: | 2014 |
|---|---|
| Fachbereich: | Grundlagen |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 344 |
| Reihe: | Universitext |
| Inhalt: |
x
332 S. 10 s/w Illustr. 332 p. 10 illus. |
| ISBN-13: | 9783319067247 |
| ISBN-10: | 3319067249 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Schindler, Ralf |
| Auflage: | 2014 |
| Hersteller: |
Springer International Publishing
Universitext |
| Maße: | 235 x 155 x 19 mm |
| Von/Mit: | Ralf Schindler |
| Erscheinungsdatum: | 06.06.2014 |
| Gewicht: | 0,522 kg |
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