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Consistency of the Continuum Hypothesis. (AM-3), Volume 3 / / Kurt Gödel
| Consistency of the Continuum Hypothesis. (AM-3), Volume 3 / / Kurt Gödel |
| Autore | Gödel Kurt |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (81 pages) |
| Disciplina | 510.1 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Mathematics - Philosophy
Logic, Symbolic and mathematical |
| Soggetto non controllato |
Absoluteness
Addition Axiom of choice Axiom of extensionality Axiom of infinity Axiom Axiomatic system Boolean algebra (structure) Constructible set (topology) Continuum hypothesis Existence theorem Existential quantification Integer Mathematical induction Mathematical logic Mathematics Metatheorem Order by Ordinal number Propositional function Quantifier (logic) Reductio ad absurdum Requirement Set theory Theorem Transfinite induction Transfinite Variable (mathematics) Well-order |
| ISBN | 1-4008-8163-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER I. THE AXIOMS OF ABSTRACT SET THEORY -- CHAPTER II. EXISTENCE OF CLASSES AND SETS -- CHAPTER III. ORDINAL NUMBERS -- CHAPTER IV. CARDINAL NUMBERS -- CHAPTER V. THE MODEL Δ -- CHAPTER VI. PROOF OF THE AXIOMS OF GROUPS A-D FOR THE MODEL Δ -- CHAPTER VII. PROOF THAT V = L HOLDS IN THE MODEL Δ -- CHAPTER VIII. PROOF THAT V = L IMPLIES THE AXIOM OF CHOICE AND THE GENERALISED CONTINTUUM-HYPOTHESIS -- APPENDIX -- INDEX -- Notes Added to the Second Printing -- BIBLIOGRAPHY |
| Record Nr. | UNINA-9910154754203321 |
Gödel Kurt
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Degrees of Unsolvability. (AM-55), Volume 55 / / Gerald E. Sacks
| Degrees of Unsolvability. (AM-55), Volume 55 / / Gerald E. Sacks |
| Autore | Sacks Gerald E. |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (189 pages) |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Recursive functions
Unsolvability (Mathematical logic) |
| Soggetto non controllato |
Addition
Aleph number Algebraic topology Approximation Arithmetic function Arithmetical set Axiom of choice Baire category theorem Cardinality of the continuum Cardinality Cartesian product Category theory Commutative property Conjecture Continuum hypothesis Contradiction Corollary Countable set Disjoint union Effective method Empty set Enumeration Equation Existence theorem Existential quantification Finite set Fixed-point theorem Fourier analysis Fubini's theorem Gödel numbering Identity function Inequality (mathematics) Infimum and supremum Integer Lebesgue measure Limit of a sequence Limit point Mathematical induction Mathematics Mean of a function Measure (mathematics) Metric space Monotonic function Mostowski Mutual exclusivity Natural number Null set Open set Partial function Partially ordered set Predicate (mathematical logic) Product measure Product topology Real number Recursion Recursive set Recursively enumerable set Reductio ad absurdum Regular space Requirement Scientific notation Sequence Set (mathematics) Simultaneous equations Subset Theorem Topology Transfinite induction Tychonoff's theorem Uncountable set Union (set theory) Upper and lower bounds Variable (mathematics) W0 Well-order Without loss of generality Zorn's lemma |
| ISBN | 1-4008-8184-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface to revised edition -- Contents -- §1. Preliminaries -- §2 . A Continuum of Mutually Incomparable Degrees -- §3. Uncountable Suborderings of Degrees -- §4. The Priority Method Of Friedberg and Muchnik -- §5. An Existence Theorem For Recursively Enumerable Degrees -- §6 . The Jump Operator -- §7. An Interpolation Theorem for Recursively Enumerable Degrees -- §8. Minimal Upper Bounds for Sequences of Degrees -- §9. Minimal Degrees -- §10. Measure-Theoretic, Category and Descriptive Set-Theoretic Arguments -- §11. Initial Segments of Degrees -- §12. Further Results and Conjectures -- Bibliography |
| Record Nr. | UNINA-9910154752603321 |
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Sacks Gerald E.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Functional Operators (AM-22), Volume 2 : The Geometry of Orthogonal Spaces. (AM-22) / / John von Neumann
| Functional Operators (AM-22), Volume 2 : The Geometry of Orthogonal Spaces. (AM-22) / / John von Neumann |
| Autore | von Neumann John |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (116 pages) |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Functional analysis
Geometry |
| Soggetto non controllato |
Affine space
Axiom C0 Combination Commutative property Complex number Corollary Countable set Dimension (vector space) Dimension Direct product Discrete measure Empty set Euclidean space Existential quantification Finite set Hilbert space Infimum and supremum Linear map Linearity Mutual exclusivity Natural number Ordinal number Separable space Sequence Set (mathematics) Special case Subset Summation Theorem Theory Transfinite induction Transfinite Unbounded operator Variable (mathematics) Well-order Well-ordering theorem |
| ISBN | 1-4008-8225-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- CHAPTER XII. LINEAR SPACES -- CHAPTER XIII. LINEAR OPERATORS -- CHAPTER XIV. COMMUTATIVITY, REDUCTIBILITY |
| Record Nr. | UNINA-9910154748003321 |
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von Neumann John
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to Ramsey spaces [[electronic resource] /] / Stevo Todorcevic
| Introduction to Ramsey spaces [[electronic resource] /] / Stevo Todorcevic |
| Autore | Todorcevic Stevo |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2010 |
| Descrizione fisica | 1 online resource (296 p.) |
| Disciplina | 511/.5 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Ramsey theory
Algebraic spaces |
| Soggetto non controllato |
Analytic set
Axiom of choice Baire category theorem Baire space Banach space Bijection Binary relation Boolean prime ideal theorem Borel equivalence relation Borel measure Borel set C0 Cantor cube Cantor set Cantor space Cardinality Characteristic function (probability theory) Characterization (mathematics) Combinatorics Compact space Compactification (mathematics) Complete metric space Completely metrizable space Constructible universe Continuous function (set theory) Continuous function Corollary Countable set Counterexample Decision problem Dense set Diagonalization Dimension (vector space) Dimension Discrete space Disjoint sets Dual space Embedding Equation Equivalence relation Existential quantification Family of sets Forcing (mathematics) Forcing (recursion theory) Gap theorem Geometry Ideal (ring theory) Infinite product Lebesgue measure Limit point Lipschitz continuity Mathematical induction Mathematical problem Mathematics Metric space Metrization theorem Monotonic function Natural number Natural topology Neighbourhood (mathematics) Null set Open set Order type Partial function Partially ordered set Peano axioms Point at infinity Pointwise Polish space Probability measure Product measure Product topology Property of Baire Ramsey theory Ramsey's theorem Right inverse Scalar multiplication Schauder basis Semigroup Sequence Sequential space Set (mathematics) Set theory Sperner family Subsequence Subset Subspace topology Support function Symmetric difference Theorem Topological dynamics Topological group Topological space Topology Tree (data structure) Unit interval Unit sphere Variable (mathematics) Well-order Zorn's lemma |
| ISBN |
1-4008-3540-2
9786612645068 1-282-64506-4 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Ramsey Theory: Preliminaries -- Chapter 2. Semigroup Colorings -- Chapter 3. Trees and Products -- Chapter 4. Abstract Ramsey Theory -- Chapter 5. Topological Ramsey Theory -- Chapter 6. Spaces of Trees -- Chapter 7. Local Ramsey Theory -- Chapter 8. Infinite Products of Finite Sets -- Chapter 9. Parametrized Ramsey Theory -- Appendix -- Bibliography -- Subject Index -- Index of Notation |
| Record Nr. | UNINA-9910791065103321 |
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Todorcevic Stevo
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| Princeton, : Princeton University Press, 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to Ramsey spaces [[electronic resource] /] / Stevo Todorcevic
| Introduction to Ramsey spaces [[electronic resource] /] / Stevo Todorcevic |
| Autore | Todorcevic Stevo |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2010 |
| Descrizione fisica | 1 online resource (296 p.) |
| Disciplina | 511/.5 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Ramsey theory
Algebraic spaces |
| Soggetto non controllato |
Analytic set
Axiom of choice Baire category theorem Baire space Banach space Bijection Binary relation Boolean prime ideal theorem Borel equivalence relation Borel measure Borel set C0 Cantor cube Cantor set Cantor space Cardinality Characteristic function (probability theory) Characterization (mathematics) Combinatorics Compact space Compactification (mathematics) Complete metric space Completely metrizable space Constructible universe Continuous function (set theory) Continuous function Corollary Countable set Counterexample Decision problem Dense set Diagonalization Dimension (vector space) Dimension Discrete space Disjoint sets Dual space Embedding Equation Equivalence relation Existential quantification Family of sets Forcing (mathematics) Forcing (recursion theory) Gap theorem Geometry Ideal (ring theory) Infinite product Lebesgue measure Limit point Lipschitz continuity Mathematical induction Mathematical problem Mathematics Metric space Metrization theorem Monotonic function Natural number Natural topology Neighbourhood (mathematics) Null set Open set Order type Partial function Partially ordered set Peano axioms Point at infinity Pointwise Polish space Probability measure Product measure Product topology Property of Baire Ramsey theory Ramsey's theorem Right inverse Scalar multiplication Schauder basis Semigroup Sequence Sequential space Set (mathematics) Set theory Sperner family Subsequence Subset Subspace topology Support function Symmetric difference Theorem Topological dynamics Topological group Topological space Topology Tree (data structure) Unit interval Unit sphere Variable (mathematics) Well-order Zorn's lemma |
| ISBN |
1-4008-3540-2
9786612645068 1-282-64506-4 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Ramsey Theory: Preliminaries -- Chapter 2. Semigroup Colorings -- Chapter 3. Trees and Products -- Chapter 4. Abstract Ramsey Theory -- Chapter 5. Topological Ramsey Theory -- Chapter 6. Spaces of Trees -- Chapter 7. Local Ramsey Theory -- Chapter 8. Infinite Products of Finite Sets -- Chapter 9. Parametrized Ramsey Theory -- Appendix -- Bibliography -- Subject Index -- Index of Notation |
| Record Nr. | UNINA-9910812113303321 |
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Todorcevic Stevo
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| Princeton, : Princeton University Press, 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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