The main body of this book consists of 106 numbered theorems and a dozen of examples of models of set theory.A large number of additional results is given in the exercises, which are scat… Mehr…
The main body of this book consists of 106 numbered theorems and a dozen of examples of models of set theory.A large number of additional results is given in the exercises, which are scattered throughout the text.Most exer- cises are provided with an outline of proof in square brackets [ ], and the more difficult ones are indicated by an asterisk.I am greatly indebted to all those mathematicians, too numerous to men- tion by name, who in their letters, preprints, handwritten notes, lectures, seminars, and many conversations over the past decade shared with me their insight into this exciting subject.XI CONTENTS Preface xi PART I SETS Chapter 1 AXIOMATIC SET THEORY I.Axioms of Set Theory I 2. Ordinal Numbers 12 3. Cardinal Numbers 22 4. Real Numbers 29 5. The Axiom of Choice 38 6. Cardinal Arithmetic 42 7. Filters and Ideals. Closed Unbounded Sets 52 8. Singular Cardinals 61 9. The Axiom of Regularity 70 Appendix: Bernays-Godel Axiomatic Set Theory 76 Chapter 2 TRANSITIVE MODELS OF SET THEORY 10.Models of Set Theory 78 II. Transitive Models of ZF 87 12. Constructible Sets 99 13. Consistency of the Axiom of Choice and the Generalized Continuum Hypothesis 108 14.The In Hierarchy of Classes, Relations, and Functions 114 15.Relative Constructibility and Ordinal Definability 126 PART II MORE SETS Chapter 3 FORCING AND GENERIC MODELS 16.Generic Models 137 17. Complete Boolean Algebras 144 18.; PDF; Scientific, Technical and Medical > Mathematical foundations, Springer Berlin Heidelberg<
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The main body of this book consists of 106 numbered theorems and a dozen of examples of models of set theory.A large number of additional results is given in the exercises, which are scat… Mehr…
The main body of this book consists of 106 numbered theorems and a dozen of examples of models of set theory.A large number of additional results is given in the exercises, which are scattered throughout the text.Most exer- cises are provided with an outline of proof in square brackets [ ], and the more difficult ones are indicated by an asterisk.I am greatly indebted to all those mathematicians, too numerous to men- tion by name, who in their letters, preprints, handwritten notes, lectures, seminars, and many conversations over the past decade shared with me their insight into this exciting subject.XI CONTENTS Preface xi PART I SETS Chapter 1 AXIOMATIC SET THEORY I.Axioms of Set Theory I 2. Ordinal Numbers 12 3. Cardinal Numbers 22 4. Real Numbers 29 5. The Axiom of Choice 38 6. Cardinal Arithmetic 42 7. Filters and Ideals. Closed Unbounded Sets 52 8. Singular Cardinals 61 9. The Axiom of Regularity 70 Appendix: Bernays-Godel Axiomatic Set Theory 76 Chapter 2 TRANSITIVE MODELS OF SET THEORY 10.Models of Set Theory 78 II. Transitive Models of ZF 87 12. Constructible Sets 99 13. Consistency of the Axiom of Choice and the Generalized Continuum Hypothesis 108 14.The In Hierarchy of Classes, Relations, and Functions 114 15.Relative Constructibility and Ordinal Definability 126 PART II MORE SETS Chapter 3 FORCING AND GENERIC MODELS 16.Generic Models 137 17. Complete Boolean Algebras 144 18.; PDF; Scientific, Technical and Medical > Mathematical foundations, Springer Berlin Heidelberg<
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The main body of this book consists of 106 numbered theorems and a dozen of examples of models of set theory.A large number of additional results is given in the exercises, which are scat… Mehr…
The main body of this book consists of 106 numbered theorems and a dozen of examples of models of set theory.A large number of additional results is given in the exercises, which are scattered throughout the text.Most exer- cises are provided with an outline of proof in square brackets [ ], and the more difficult ones are indicated by an asterisk.I am greatly indebted to all those mathematicians, too numerous to men- tion by name, who in their letters, preprints, handwritten notes, lectures, seminars, and many conversations over the past decade shared with me their insight into this exciting subject.XI CONTENTS Preface xi PART I SETS Chapter 1 AXIOMATIC SET THEORY I.Axioms of Set Theory I 2. Ordinal Numbers 12 3. Cardinal Numbers 22 4. Real Numbers 29 5. The Axiom of Choice 38 6. Cardinal Arithmetic 42 7. Filters and Ideals. Closed Unbounded Sets 52 8. Singular Cardinals 61 9. The Axiom of Regularity 70 Appendix: Bernays-Godel Axiomatic Set Theory 76 Chapter 2 TRANSITIVE MODELS OF SET THEORY 10.Models of Set Theory 78 II. Transitive Models of ZF 87 12. Constructible Sets 99 13. Consistency of the Axiom of Choice and the Generalized Continuum Hypothesis 108 14.The In Hierarchy of Classes, Relations, and Functions 114 15.Relative Constructibility and Ordinal Definability 126 PART II MORE SETS Chapter 3 FORCING AND GENERIC MODELS 16.Generic Models 137 17. Complete Boolean Algebras 144 18.; PDF; Scientific, Technical and Medical > Mathematical foundations, Springer Berlin Heidelberg<
No. 9783662224007. Versandkosten:Instock, Despatched same working day before 3pm, zzgl. Versandkosten.
The main body of this book consists of 106 numbered theorems and a dozen of examples of models of set theory.A large number of additional results is given in the exercises, which are scat… Mehr…
The main body of this book consists of 106 numbered theorems and a dozen of examples of models of set theory.A large number of additional results is given in the exercises, which are scattered throughout the text.Most exer- cises are provided with an outline of proof in square brackets [ ], and the more difficult ones are indicated by an asterisk.I am greatly indebted to all those mathematicians, too numerous to men- tion by name, who in their letters, preprints, handwritten notes, lectures, seminars, and many conversations over the past decade shared with me their insight into this exciting subject.XI CONTENTS Preface xi PART I SETS Chapter 1 AXIOMATIC SET THEORY I.Axioms of Set Theory I 2. Ordinal Numbers 12 3. Cardinal Numbers 22 4. Real Numbers 29 5. The Axiom of Choice 38 6. Cardinal Arithmetic 42 7. Filters and Ideals. Closed Unbounded Sets 52 8. Singular Cardinals 61 9. The Axiom of Regularity 70 Appendix: Bernays-Godel Axiomatic Set Theory 76 Chapter 2 TRANSITIVE MODELS OF SET THEORY 10.Models of Set Theory 78 II. Transitive Models of ZF 87 12. Constructible Sets 99 13. Consistency of the Axiom of Choice and the Generalized Continuum Hypothesis 108 14.The In Hierarchy of Classes, Relations, and Functions 114 15.Relative Constructibility and Ordinal Definability 126 PART II MORE SETS Chapter 3 FORCING AND GENERIC MODELS 16.Generic Models 137 17. Complete Boolean Algebras 144 18.; PDF; Scientific, Technical and Medical > Mathematical foundations, Springer Berlin Heidelberg<
No. 9783662224007. Versandkosten:Instock, Despatched same working day before 3pm, zzgl. Versandkosten.
Set Theory ab 85.49 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher, Set Theory - eBook als pdf von Thomas Jech - Springer Berlin Heidel… Mehr…
Set Theory ab 85.49 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher, Set Theory - eBook als pdf von Thomas Jech - Springer Berlin Heidelberg - 9783662224007<
*Set Theory* / pdf eBook für 85.49 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher nein eBook als pdf eBooks > Fachthemen & Wissenschaft > Mathematik, S… Mehr…
*Set Theory* / pdf eBook für 85.49 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher nein eBook als pdf eBooks > Fachthemen & Wissenschaft > Mathematik, Springer Berlin Heidelberg<
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EAN (ISBN-13): 9783662224007 Erscheinungsjahr: 2013 Herausgeber: Springer Berlin Heidelberg
Buch in der Datenbank seit 2017-04-25T06:25:48+02:00 (Berlin) Detailseite zuletzt geändert am 2023-10-26T08:26:17+02:00 (Berlin) ISBN/EAN: 9783662224007
ISBN - alternative Schreibweisen: 978-3-662-22400-7 Alternative Schreibweisen und verwandte Suchbegriffe: Autor des Buches: jech Titel des Buches: set theory
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Autor/in: Thomas Jech Titel: Perspectives in Mathematical Logic; Set Theory Verlag: Springer; Springer Berlin 634 Seiten Erscheinungsjahr: 2013-06-29 Berlin; Heidelberg; DE Sprache: Englisch 85,59 € (DE) 88,00 € (AT) 106,50 CHF (CH) Available XIV, 634 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Grundlagen; Mathematik: Logik; Verstehen; Cardinal number; Mengenlehre; cardinals; combinatorics; forcing; grosse Kardinalzahlen; large cardinals; mathematics; proof; set theory; C; Mathematical Logic and Foundations; Formal Languages and Automata Theory; Mathematics and Statistics; Mathematische Grundlagen; Theoretische Informatik; BC
I Sets.- 1 Axiomatic Set Theory.- 2 Transitive Models of Set Theory.- II More Sets.- 3 Forcing and Generic Models.- 4 Some Applications of Forcing.- III Large Sets.- 5 Measurable Cardinals.- 6 Other Large Cardinals.- IV Sets of Reals.- 7 Descriptive Set Theory.- Historical Notes and Guide to the Bibliography.- Notation.- Name Index.- List of Corrections. This well-organized and carefully worked out introduction to modern "non-trivial" set theory was first published in 1978 by Academic Press. Since then, the book has become a standard reference which, even after 20 years, is still timely and has no real competitor. For this 2nd edition, a list of corrections and an updated name index has been appended.
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