02562nam 2200577 450 991048024850332120180731043600.01-4704-0582-2(CKB)3360000000465152(EBL)3114216(SSID)ssj0000889237(PQKBManifestationID)11497180(PQKBTitleCode)TC0000889237(PQKBWorkID)10875861(PQKB)11016560(MiAaPQ)EBC3114216(PPN)195418581(EXLCZ)99336000000046515220150417h20102010 uy 0engur|n|---|||||txtccrStructural Ramsey theory of metric spaces and topological dynamics of isometry groups /L. Nguyen Van ThéProvidence, Rhode Island :American Mathematical Society,2010.©20101 online resource (140 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 206, Number 968"Volume 206, Number 968 (second of 4 numbers)."0-8218-4711-2 Includes bibliographical references and index.""2. Finite metric Ramsey theorems""""3. Ordering properties""; ""4. Ramsey degrees""; ""5. Universal minimal flows and extreme amenability""; ""6. Concluding remarks and open problems""; ""Chapter 3. Big Ramsey degrees, indivisibility and oscillation stability""; ""1. Fundamentals of infinite metric Ramsey calculus and oscillation stability""; ""2. Big Ramsey degrees""; ""3. Indivisibility""; ""4. Approximate indivisibility and oscillation stability""; ""5. Concluding remarks and open problems""; ""Appendix A. Amalgamation classes MS when |S| 4""; ""6. |S|=3""; ""7. |S|=4""""Appendix B. Indivisibility of US when |S| 4""""Appendix C. On the universal Urysohn space U""; ""Bibliography""; ""Index""Memoirs of the American Mathematical Society ;Volume 206, Number 968.Ramsey theoryMetric spacesTopological groupsElectronic books.Ramsey theory.Metric spaces.Topological groups.514/.325Thé L. Nguyen Van1980-964797MiAaPQMiAaPQMiAaPQBOOK9910480248503321Structural Ramsey theory of metric spaces and topological dynamics of isometry groups2188965UNINA