LEADER 04349nam 2200613 450 001 9910481009903321 005 20170822144313.0 010 $a1-4704-0522-9 035 $a(CKB)3360000000465100 035 $a(EBL)3114069 035 $a(SSID)ssj0000889051 035 $a(PQKBManifestationID)11497165 035 $a(PQKBTitleCode)TC0000889051 035 $a(PQKBWorkID)10866179 035 $a(PQKB)10362863 035 $a(MiAaPQ)EBC3114069 035 $a(PPN)195418050 035 $a(EXLCZ)993360000000465100 100 $a20080708h20082008 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe mapping class group from the viewpoint of measure equivalence theory /$fYoshikata Kida 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2008] 210 4$dİ2008 215 $a1 online resource (206 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 916 300 $a"November 2008, volume 196, number 916 (third of 5 numbers )." 311 $a0-8218-4196-3 320 $aIncludes bibliographical references (pages 183-186) and index. 327 $a""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Property A for the curve complex""; ""1. Geometry of the curve complex""; ""2. Generalities for property A""; ""3. Property A for the curve complex""; ""4. Exceptional surfaces""; ""Chapter 3. Amenability for the action of the mapping class group on the boundary of the curve complex""; ""1. The mapping class group and the Thurston boundary""; ""2. The boundary at infinity of the curve complex""; ""3. Amenability for the actions of the mapping class group""; ""4. The boundary of the curve complex for an exceptional surface"" 327 $a""Chapter 4. Indecomposability of equivalence relations generated by the mapping class group""""1. Construction of Busemann functions and the MIN set map""; ""2. Preliminaries on discrete measured equivalence relations""; ""3. Reducible elements in the mapping class group""; ""4. Subrelations of the two types: irreducible and amenable ones and reducible ones""; ""5. Canonical reduction systems for reducible subrelations""; ""6. Indecomposability of equivalence relations generated by actions of the mapping class group""; ""7. Comparison with hyperbolic groups"" 327 $a""Chapter 5. Classification of the mapping class groups in terms of measure equivalence I""""1. Reducible subrelations, revisited""; ""2. Irreducible and amenable subsurfaces""; ""3. Amenable, reducible subrelations""; ""4. Classification""; ""Chapter 6. Classification of the mapping class groups in terms of measure equivalence II""; ""1. Geometric lemmas""; ""2. Families of subrelations satisfying the maximal condition""; ""3. Application I (Invariance of complexity under measure equivalence)""; ""4. Application II (The case where complexity is odd)"" 327 $a""5. Application III (The case where complexity is even)""""Appendix A. Amenability of a group action""; ""1. Notation""; ""2. Existence of invariant means""; ""3. The fixed point property""; ""Appendix B. Measurability of the map associating image measures""; ""Appendix C. Exactness of the mapping class group""; ""Appendix D. The cost and l[sup(2)]-Betti numbers of the mapping class group""; ""1. The cost of the mapping class group""; ""2. The l[sup(2)]-Betti numbers of the mapping class group""; ""Appendix E. A group-theoretic argument for Chapter 5""; ""Bibliography""; ""Index""; ""A"" 327 $a""B""""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 916. 606 $aMappings (Mathematics) 606 $aClass groups (Mathematics) 606 $aMeasure theory 608 $aElectronic books. 615 0$aMappings (Mathematics) 615 0$aClass groups (Mathematics) 615 0$aMeasure theory. 676 $a511.3/26 700 $aKida$b Yoshikata$f1982-$0918213 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910481009903321 996 $aThe mapping class group from the viewpoint of measure equivalence theory$92058831 997 $aUNINA LEADER 01990nam 2200433z- 450 001 9910557434303321 005 20211118 035 $a(CKB)5400000000043380 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/73787 035 $a(oapen)doab73787 035 $a(EXLCZ)995400000000043380 100 $a20202111d2020 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aEmerging Translational Opportunities in Comparative Oncology with Companion Canine Cancers 210 $cFrontiers Media SA$d2020 215 $a1 online resource (201 p.) 311 08$a2-88963-645-3 330 $aThis eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact 606 $aMedicine and Nursing$2bicssc 606 $aOncology$2bicssc 610 $acancer biology 610 $acancer diagnostic 610 $acancer therapy 610 $acanine 610 $acomparative oncology 615 7$aMedicine and Nursing 615 7$aOncology 700 $aDewhirst$b Mark W$4edt$01314856 702 $aPage$b Rodney L$4edt 702 $aDewhirst$b Mark W$4oth 702 $aPage$b Rodney L$4oth 906 $aBOOK 912 $a9910557434303321 996 $aEmerging Translational Opportunities in Comparative Oncology with Companion Canine Cancers$93032053 997 $aUNINA