LEADER 03825nam 2200661 450 001 9910817222703321 005 20180613001300.0 010 $a1-4704-0210-6 035 $a(CKB)3360000000464805 035 $a(EBL)3114567 035 $a(SSID)ssj0000888823 035 $a(PQKBManifestationID)11932376 035 $a(PQKBTitleCode)TC0000888823 035 $a(PQKBWorkID)10866082 035 $a(PQKB)11728953 035 $a(MiAaPQ)EBC3114567 035 $a(RPAM)4490303 035 $a(PPN)195415051 035 $a(EXLCZ)993360000000464805 100 $a19970908h19981998 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe classification of countable homogeneous directed graphs and countable homogeneous n-tournaments /$fGregory L. Cherlin 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1998] 210 4$d©1998 215 $a1 online resource (183 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 621 300 $a"January 1998, volume 131, number 621 (first of 4 numbers)." 311 $a0-8218-0836-2 320 $aIncludes bibliographical references and indexes. 327 $a""Contents""; ""Introduction""; ""Chapter 1. Results and Open Problems""; ""1.1. Homogeneous structures""; ""1.2. A survey of work on homogeneous structures""; ""1.3. Amalgamation classes""; ""1.4. Languages, strong amalgamation, generincation, and Ramsey's theorem""; ""1.5. Classification theorems""; ""1.6. Open problems""; ""Chapter 2. Homogeneous 2-tournaments""; ""2.1. A catalog""; ""2.2. Restricted homogeneous 2-tournaments""; ""2.3. Sources and sinks""; ""2.4. Constrained 2-tournaments""; ""2.5. Unconstrained 2-tournaments""; ""Chapter 3. Homogeneous n-tournaments"" 327 $a""3.1. Introduction""""3.2. Hypercritical and small 3-tournaments""; ""3.3. The critical case""; ""3.4. Two embedding lemmas""; ""3.5. Polarized n-tournaments""; ""3.6. Embedding polarized 3-tournaments""; ""3.7. Some special cases""; ""3.8. The general case""; ""Chapter 4. Homogeneous symmetric graphs""; ""4.1. The theorem of Lachlan and Woodrow""; ""4.2. The main ingredients""; ""4.3. Structure of the proof""; ""4.4. Steps 7, 5, 8. Proof of the Main Theorems""; ""4.5. Step 1, Proposition 10: adding K(2)""; ""4.6. Step 1, Proposition 11: the operation H[sup(+)]"" 327 $a""7.5. Step 1. Proposition 24: P[sub(3)]""""7.6. Step 1, Proposition 25: adding L(2)""; ""7.7. Step 1, Proposition 26: the operations A?±""; ""7.8. Step 1, Propositions 27 and 28: some 1-types""; ""Chapter 8. Theorems 7.6-7.9""; ""8.1. Step 2. Theorems 7.6 and 7.7""; ""8.2. Step 5. Theorem 7.9.T: extending a direct sum""; ""8.3. Step 3. Theorem 7.8, 1-types over sums""; ""8.4. Theorem 7.8, conclusion""; ""Appendix: Examples for richer languages""; ""Bibliography""; ""Index of Notation""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""L""; ""M""; ""N"" 327 $a""O"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 621. 606 $aDirected graphs 606 $aTournaments (Graph theory) 606 $aModel theory 606 $aRamsey theory 606 $aPermutation groups 615 0$aDirected graphs. 615 0$aTournaments (Graph theory) 615 0$aModel theory. 615 0$aRamsey theory. 615 0$aPermutation groups. 676 $a510 s 676 $a511/.5 700 $aCherlin$b Gregory L.$f1948-$01118785 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910817222703321 996 $aThe classification of countable homogeneous directed graphs and countable homogeneous n-tournaments$93981874 997 $aUNINA