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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 |
Todorcevic Stevo
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| Princeton, : Princeton University Press, 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Naive set theory / Paul R. Halmos
| Naive set theory / Paul R. Halmos |
| Autore | Halmos, Paul R. |
| Pubbl/distr/stampa | New York, : Springer, 1974 |
| Descrizione fisica | VII, 104 p. ; 24 cm |
| Soggetto topico |
03-XX - Mathematical logic and foundations [MSC 2020]
03Exx - Set theory [MSC 2020] |
| Soggetto non controllato |
Addition
Arithmetic Cardinal numbers Countable set Lemma Peano axioms Set Theory |
| ISBN |
03-87900-92-6
978-03-87900-92-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0024946 |
|
Halmos, Paul R.
|
||
| New York, : Springer, 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Naive set theory / Paul R. Halmos
| Naive set theory / Paul R. Halmos |
| Autore | Halmos, Paul R. |
| Pubbl/distr/stampa | New York, : Springer, 1974 |
| Descrizione fisica | vii, 104 p. ; 24 cm |
| Soggetto topico |
03-XX - Mathematical logic and foundations [MSC 2020]
03Exx - Set theory [MSC 2020] |
| Soggetto non controllato |
Addition
Arithmetic Cardinal numbers Countable set Lemma Peano axioms Set Theory |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0267794 |
|
Halmos, Paul R.
|
||
| New York, : Springer, 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Naive set theory / Paul R. Halmos
| Naive set theory / Paul R. Halmos |
| Autore | Halmos, Paul R. |
| Pubbl/distr/stampa | New York, : Springer, 1974 |
| Descrizione fisica | vii, 104 p. ; 24 cm |
| Soggetto topico |
03-XX - Mathematical logic and foundations [MSC 2020]
03Exx - Set theory [MSC 2020] |
| Soggetto non controllato |
Addition
Arithmetic Cardinal Numbers Countable Sets Lemma Peano axioms Set Theory |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Every mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to decide how much is some. This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. The point of view throughout is that of a prospective mathematician anxious to study groups, or integrals, or manifolds. From this point of view the concepts and methods of this book are merely some of the standard mathematical tools; the expert specialist will find nothing new here. Scholarly bibliographical credits and references are out of place in a purely expository book such as this one. The student who gets interested in set theory for its own sake should know, however, that there is much more to the subject than there is in this book. One of the most beautiful sources of set-theoretic wisdom is still Hausdorff's Set theory. A recent and highly readable addition to the literature, with an extensive and up-to-date bibliography, is Axiomatic set theory by Suppes. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00267794 |
|
Halmos, Paul R.
|
||
| New York, : Springer, 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Naive set theory / Paul R. Halmos
| Naive set theory / Paul R. Halmos |
| Autore | Halmos, Paul R. |
| Pubbl/distr/stampa | New York, : Springer, 1974 |
| Descrizione fisica | VII, 104 p. ; 24 cm |
| Soggetto topico |
03-XX - Mathematical logic and foundations [MSC 2020]
03Exx - Set theory [MSC 2020] |
| Soggetto non controllato |
Addition
Arithmetic Cardinal Numbers Countable Sets Lemma Peano axioms Set Theory |
| ISBN |
03-87900-92-6
978-03-87900-92-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00024946 |
|
Halmos, Paul R.
|
||
| New York, : Springer, 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||