03491nam 2200685Ia 450 991045296090332120200520144314.01-4008-3540-297866126450681-282-64506-410.1515/9781400835409(CKB)2550000001251163(EBL)557161(OCoLC)650307489(SSID)ssj0000421041(PQKBManifestationID)11296208(PQKBTitleCode)TC0000421041(PQKBWorkID)10405590(PQKB)11267452(MiAaPQ)EBC557161(DE-B1597)446754(OCoLC)979593112(DE-B1597)9781400835409(Au-PeEL)EBL557161(CaPaEBR)ebr10395877(CaONFJC)MIL264506(EXLCZ)99255000000125116320090915d2010 uy 0engur|n|---|||||txtccrIntroduction to Ramsey spaces[electronic resource] /Stevo TodorcevicCourse BookPrinceton Princeton University Press20101 online resource (296 p.)Annals of mathematics studies ;174Description based upon print version of record.0-691-14542-3 0-691-14541-5 Includes bibliographical references and index. 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 NotationRamsey 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 set theory, combinatorics, real and functional analysis, and topology. In order to facilitate accessibility, the book gives the method in its axiomatic form with examples that cover many important parts of Ramsey theory both finite and infinite. An exciting new direction for combinatorics, this book will interest graduate students and researchers working in mathematical subdisciplines requiring the mastery and practice of high-dimensional Ramsey theory.Annals of mathematics studies ;174.Ramsey theoryAlgebraic spacesElectronic books.Ramsey theory.Algebraic spaces.511/.5SI 830rvkTodorcevic Stevo61532MiAaPQMiAaPQMiAaPQBOOK9910452960903321Introduction to Ramsey spaces226789UNINA