Introduction to Ramsey spaces /:
Ramsey theory is a fast-growing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. The area of Ramsey theory dealing with Ramsey-type phenomena in higher dimensions is particularly useful. Introduc...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton :
Princeton University Press,
2010.
|
| Schriftenreihe: | Annals of mathematics studies ;
no. 174. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Ramsey theory is a fast-growing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. The area of Ramsey theory dealing with Ramsey-type phenomena in higher dimensions is particularly useful. Introduction to Ramsey Spaces presents in a systematic way a method for building higher-dimensional Ramsey spaces from basic one-dimensional principles. It is the first book-length treatment of this area of Ramsey theory, and emphasizes applications for related and surrounding fields of mathematics, such as. |
| Beschreibung: | 1 online resource (vi, 287 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and indexes. |
| ISBN: | 9781400835409 1400835402 |
Internformat
MARC
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| 100 | 1 | |a Todorcevic, Stevo. |1 https://id.oclc.org/worldcat/entity/E39PBJdmmCXDRktFmhpyDJpMfq |0 http://id.loc.gov/authorities/names/n87874475 | |
| 245 | 1 | 0 | |a Introduction to Ramsey spaces / |c Stevo Todorcevic. |
| 260 | |a Princeton : |b Princeton University Press, |c 2010. | ||
| 300 | |a 1 online resource (vi, 287 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Annals of mathematics studies ; |v no. 174 | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 505 | 0 | |a Cover; Title; Copyright; 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. | |
| 520 | |a Ramsey theory is a fast-growing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. The area of Ramsey theory dealing with Ramsey-type phenomena in higher dimensions is particularly useful. Introduction to Ramsey Spaces presents in a systematic way a method for building higher-dimensional Ramsey spaces from basic one-dimensional principles. It is the first book-length treatment of this area of Ramsey theory, and emphasizes applications for related and surrounding fields of mathematics, such as. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a In English. | ||
| 650 | 0 | |a Ramsey theory. |0 http://id.loc.gov/authorities/subjects/sh85111302 | |
| 650 | 0 | |a Algebraic spaces. |0 http://id.loc.gov/authorities/subjects/sh85003437 | |
| 650 | 6 | |a Théorie de Ramsey. | |
| 650 | 6 | |a Espaces algébriques. | |
| 650 | 7 | |a MATHEMATICS |x Graphic Methods. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Set Theory. |2 bisacsh | |
| 650 | 7 | |a Algebraic spaces |2 fast | |
| 650 | 7 | |a Ramsey theory |2 fast | |
| 653 | |a Analytic set. | ||
| 653 | |a Axiom of choice. | ||
| 653 | |a Baire category theorem. | ||
| 653 | |a Baire space. | ||
| 653 | |a Banach space. | ||
| 653 | |a Bijection. | ||
| 653 | |a Binary relation. | ||
| 653 | |a Boolean prime ideal theorem. | ||
| 653 | |a Borel equivalence relation. | ||
| 653 | |a Borel measure. | ||
| 653 | |a Borel set. | ||
| 653 | |a C0. | ||
| 653 | |a Cantor cube. | ||
| 653 | |a Cantor set. | ||
| 653 | |a Cantor space. | ||
| 653 | |a Cardinality. | ||
| 653 | |a Characteristic function (probability theory). | ||
| 653 | |a Characterization (mathematics). | ||
| 653 | |a Combinatorics. | ||
| 653 | |a Compact space. | ||
| 653 | |a Compactification (mathematics). | ||
| 653 | |a Complete metric space. | ||
| 653 | |a Completely metrizable space. | ||
| 653 | |a Constructible universe. | ||
| 653 | |a Continuous function (set theory). | ||
| 653 | |a Continuous function. | ||
| 653 | |a Corollary. | ||
| 653 | |a Countable set. | ||
| 653 | |a Counterexample. | ||
| 653 | |a Decision problem. | ||
| 653 | |a Dense set. | ||
| 653 | |a Diagonalization. | ||
| 653 | |a Dimension (vector space). | ||
| 653 | |a Dimension. | ||
| 653 | |a Discrete space. | ||
| 653 | |a Disjoint sets. | ||
| 653 | |a Dual space. | ||
| 653 | |a Embedding. | ||
| 653 | |a Equation. | ||
| 653 | |a Equivalence relation. | ||
| 653 | |a Existential quantification. | ||
| 653 | |a Family of sets. | ||
| 653 | |a Forcing (mathematics). | ||
| 653 | |a Forcing (recursion theory). | ||
| 653 | |a Gap theorem. | ||
| 653 | |a Geometry. | ||
| 653 | |a Ideal (ring theory). | ||
| 653 | |a Infinite product. | ||
| 653 | |a Lebesgue measure. | ||
| 653 | |a Limit point. | ||
| 653 | |a Lipschitz continuity. | ||
| 653 | |a Mathematical induction. | ||
| 653 | |a Mathematical problem. | ||
| 653 | |a Mathematics. | ||
| 653 | |a Metric space. | ||
| 653 | |a Metrization theorem. | ||
| 653 | |a Monotonic function. | ||
| 653 | |a Natural number. | ||
| 653 | |a Natural topology. | ||
| 653 | |a Neighbourhood (mathematics). | ||
| 653 | |a Null set. | ||
| 653 | |a Open set. | ||
| 653 | |a Order type. | ||
| 653 | |a Partial function. | ||
| 653 | |a Partially ordered set. | ||
| 653 | |a Peano axioms. | ||
| 653 | |a Point at infinity. | ||
| 653 | |a Pointwise. | ||
| 653 | |a Polish space. | ||
| 653 | |a Probability measure. | ||
| 653 | |a Product measure. | ||
| 653 | |a Product topology. | ||
| 653 | |a Property of Baire. | ||
| 653 | |a Ramsey theory. | ||
| 653 | |a Ramsey's theorem. | ||
| 653 | |a Right inverse. | ||
| 653 | |a Scalar multiplication. | ||
| 653 | |a Schauder basis. | ||
| 653 | |a Semigroup. | ||
| 653 | |a Sequence. | ||
| 653 | |a Sequential space. | ||
| 653 | |a Set (mathematics). | ||
| 653 | |a Set theory. | ||
| 653 | |a Sperner family. | ||
| 653 | |a Subsequence. | ||
| 653 | |a Subset. | ||
| 653 | |a Subspace topology. | ||
| 653 | |a Support function. | ||
| 653 | |a Symmetric difference. | ||
| 653 | |a Theorem. | ||
| 653 | |a Topological dynamics. | ||
| 653 | |a Topological group. | ||
| 653 | |a Topological space. | ||
| 653 | |a Topology. | ||
| 653 | |a Tree (data structure). | ||
| 653 | |a Unit interval. | ||
| 653 | |a Unit sphere. | ||
| 653 | |a Variable (mathematics). | ||
| 653 | |a Well-order. | ||
| 653 | |a Zorn's lemma. | ||
| 758 | |i has work: |a Introduction to Ramsey spaces (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG6gKFGrxRgFCFFXCtjJMq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Todorcevic, Stevo. |t Introduction to Ramsey spaces. |d Princeton : Princeton University Press, 2010 |z 9780691145426 |w (DLC) 2009036738 |w (OCoLC)437054050 |
| 830 | 0 | |a Annals of mathematics studies ; |v no. 174. |0 http://id.loc.gov/authorities/names/n42002129 | |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=329854 |3 Volltext |
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| author | Todorcevic, Stevo |
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| contents | Cover; Title; Copyright; 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. |
| ctrlnum | (OCoLC)650307489 |
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| id | ZDB-4-EBA-ocn650307489 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:23Z |
| institution | BVB |
| isbn | 9781400835409 1400835402 |
| language | English |
| lccn | 2009036738 |
| oclc_num | 650307489 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (vi, 287 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Princeton University Press, |
| record_format | marc |
| series | Annals of mathematics studies ; |
| series2 | Annals of mathematics studies ; |
| spelling | Todorcevic, Stevo. https://id.oclc.org/worldcat/entity/E39PBJdmmCXDRktFmhpyDJpMfq http://id.loc.gov/authorities/names/n87874475 Introduction to Ramsey spaces / Stevo Todorcevic. Princeton : Princeton University Press, 2010. 1 online resource (vi, 287 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Annals of mathematics studies ; no. 174 Includes bibliographical references and indexes. Cover; Title; Copyright; 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. Ramsey theory is a fast-growing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. The area of Ramsey theory dealing with Ramsey-type phenomena in higher dimensions is particularly useful. Introduction to Ramsey Spaces presents in a systematic way a method for building higher-dimensional Ramsey spaces from basic one-dimensional principles. It is the first book-length treatment of this area of Ramsey theory, and emphasizes applications for related and surrounding fields of mathematics, such as. Print version record. In English. Ramsey theory. http://id.loc.gov/authorities/subjects/sh85111302 Algebraic spaces. http://id.loc.gov/authorities/subjects/sh85003437 Théorie de Ramsey. Espaces algébriques. MATHEMATICS Graphic Methods. bisacsh MATHEMATICS Set Theory. bisacsh Algebraic spaces fast Ramsey theory fast 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. has work: Introduction to Ramsey spaces (Text) https://id.oclc.org/worldcat/entity/E39PCG6gKFGrxRgFCFFXCtjJMq https://id.oclc.org/worldcat/ontology/hasWork Print version: Todorcevic, Stevo. Introduction to Ramsey spaces. Princeton : Princeton University Press, 2010 9780691145426 (DLC) 2009036738 (OCoLC)437054050 Annals of mathematics studies ; no. 174. http://id.loc.gov/authorities/names/n42002129 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=329854 Volltext |
| spellingShingle | Todorcevic, Stevo Introduction to Ramsey spaces / Annals of mathematics studies ; Cover; Title; Copyright; 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. Ramsey theory. http://id.loc.gov/authorities/subjects/sh85111302 Algebraic spaces. http://id.loc.gov/authorities/subjects/sh85003437 Théorie de Ramsey. Espaces algébriques. MATHEMATICS Graphic Methods. bisacsh MATHEMATICS Set Theory. bisacsh Algebraic spaces fast Ramsey theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85111302 http://id.loc.gov/authorities/subjects/sh85003437 |
| title | Introduction to Ramsey spaces / |
| title_auth | Introduction to Ramsey spaces / |
| title_exact_search | Introduction to Ramsey spaces / |
| title_full | Introduction to Ramsey spaces / Stevo Todorcevic. |
| title_fullStr | Introduction to Ramsey spaces / Stevo Todorcevic. |
| title_full_unstemmed | Introduction to Ramsey spaces / Stevo Todorcevic. |
| title_short | Introduction to Ramsey spaces / |
| title_sort | introduction to ramsey spaces |
| topic | Ramsey theory. http://id.loc.gov/authorities/subjects/sh85111302 Algebraic spaces. http://id.loc.gov/authorities/subjects/sh85003437 Théorie de Ramsey. Espaces algébriques. MATHEMATICS Graphic Methods. bisacsh MATHEMATICS Set Theory. bisacsh Algebraic spaces fast Ramsey theory fast |
| topic_facet | Ramsey theory. Algebraic spaces. Théorie de Ramsey. Espaces algébriques. MATHEMATICS Graphic Methods. MATHEMATICS Set Theory. Algebraic spaces Ramsey theory |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=329854 |
| work_keys_str_mv | AT todorcevicstevo introductiontoramseyspaces |