LEADER 03491nam  2200685Ia 450 
001 9910452960903321
005 20200520144314.0
010   $a1-4008-3540-2
010   $a9786612645068
010   $a1-282-64506-4
024 7 $a10.1515/9781400835409
035   $a(CKB)2550000001251163
035   $a(EBL)557161
035   $a(OCoLC)650307489
035   $a(SSID)ssj0000421041
035   $a(PQKBManifestationID)11296208
035   $a(PQKBTitleCode)TC0000421041
035   $a(PQKBWorkID)10405590
035   $a(PQKB)11267452
035   $a(MiAaPQ)EBC557161
035   $a(DE-B1597)446754
035   $a(OCoLC)979593112
035   $a(DE-B1597)9781400835409
035   $a(Au-PeEL)EBL557161
035   $a(CaPaEBR)ebr10395877
035   $a(CaONFJC)MIL264506
035   $a(EXLCZ)992550000001251163
100   $a20090915d2010      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aIntroduction to Ramsey spaces$b[electronic resource] /$fStevo Todorcevic
205   $aCourse Book
210   $aPrinceton $cPrinceton University Press$d2010
215   $a1 online resource (296 p.)
225 1 $aAnnals of mathematics studies ;$v174
300   $aDescription based upon print version of record.
311   $a0-691-14542-3 
311   $a0-691-14541-5 
320   $aIncludes bibliographical references and index.
327   $t Frontmatter -- $tContents -- $tIntroduction -- $tChapter 1. Ramsey Theory: Preliminaries -- $tChapter 2. Semigroup Colorings -- $tChapter 3. Trees and Products -- $tChapter 4. Abstract Ramsey Theory -- $tChapter 5. Topological Ramsey Theory -- $tChapter 6. Spaces of Trees -- $tChapter 7. Local Ramsey Theory -- $tChapter 8. Infinite Products of Finite Sets -- $tChapter 9. Parametrized Ramsey Theory -- $tAppendix -- $tBibliography -- $tSubject Index -- $tIndex of Notation
330   $aRamsey theory is a fast-growing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. The area of Ramsey theory dealing with Ramsey-type phenomena in higher dimensions is particularly useful. Introduction to Ramsey Spaces presents in a systematic way a method for building higher-dimensional Ramsey spaces from basic one-dimensional principles. It is the first book-length treatment of this area of Ramsey theory, and emphasizes applications for related and surrounding fields of mathematics, such as set theory, combinatorics, real and functional analysis, and topology. In order to facilitate accessibility, the book gives the method in its axiomatic form with examples that cover many important parts of Ramsey theory both finite and infinite. An exciting new direction for combinatorics, this book will interest graduate students and researchers working in mathematical subdisciplines requiring the mastery and practice of high-dimensional Ramsey theory.
410  0$aAnnals of mathematics studies ;$v174.
606   $aRamsey theory
606   $aAlgebraic spaces
608   $aElectronic books.
615  0$aRamsey theory.
615  0$aAlgebraic spaces.
676   $a511/.5
686   $aSI 830$2rvk
700   $aTodorcevic$b Stevo$061532
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910452960903321
996   $aIntroduction to Ramsey spaces$9226789
997   $aUNINA