LEADER 03934nam  2200577   450 
001 9910827858103321
005 20170822144321.0
010   $a1-4704-0199-1
035   $a(CKB)3360000000464798
035   $a(EBL)3114410
035   $a(SSID)ssj0000889240
035   $a(PQKBManifestationID)11523077
035   $a(PQKBTitleCode)TC0000889240
035   $a(PQKBWorkID)10876217
035   $a(PQKB)11779858
035   $a(MiAaPQ)EBC3114410
035   $a(RPAM)4962497
035   $a(PPN)195414985
035   $a(EXLCZ)993360000000464798
100   $a19970509d1997      uy|            0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 14$aThe structure of k-CS-transitive cycle-free partial orders /$fRichard Warren
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1997.
215   $a1 online resource (183 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 614
300   $a"September 1997, volume 129, number 614 (second of 4 numbers)."
311   $a0-8218-0622-X 
320   $aIncludes bibliographical references.
327   $a""Contents""; ""1 Extended Introduction""; ""1.1 Introduction""; ""1.2 Cycle-free partial orders""; ""1.3 Homogeneous structures""; ""1.4 k-connected set transitivity""; ""1.5 Finite and infinite chain CFPO[sub(s)]""; ""1.6 Elements of the classification""; ""1.7 Further work""; ""2 Preliminaries""; ""2.1 Introduction""; ""2.2 Dedekind-complete partial orders""; ""2.3 Cycle-free partial orders""; ""2.4 Concerning paths, and the density lemma""; ""2.5 Substructures, cones, and their extensions""; ""2.6 Convex cycle-free partial orders""; ""3 Properties of k-CS-transitive CFPOs""
327   $a""3.1 Introduction""""3.2 k-CS-transivity and k-CS-homogeneity""; ""3.3 The infinite chain case""; ""3.4 The finite chain case and the bipartite theorem""; ""3.5 Sporadic and skeletal cycle-free partial orders""; ""4 Constructing CFPOs""; ""4.1 Introduction""; ""4.2 The completion theorem (Part one)""; ""4.3 The completion theorem (Part two)""; ""4.4 Useful results concerning M,M[sup(D)] and M""; ""5 Characterization and Isomorphism Theorems""; ""5.1 Introduction""; ""5.2 Characterizations in the infinite chain case""; ""5.3 The isomorphism theorems and their corollaries""
327   $a""6 Classification of skeletal CFPOs (Part 1)""""6.1 Introduction""; ""6.2 Case A: a???Ram(M) = a???Ram(M)""; ""6.3 Case B: a???Ram(M)a??Ša???Ram(M) = I??and Ram(M) is dense""; ""6.4 Covering orders""; ""6.5 Case C: Fully covered cycle-free partial orders""; ""6.6 Case D: Partially covered cycle-free partial orders""; ""6.7 Subcase D1: The cycle-free partial orders D[sup(d,u,u')][sub(I??)]""; ""6.8 Subcase D2: The cycle-free partial orders e[sup(d,u,u')][sub(I??)]""; ""6.9 Subcase D3: The cycle-free partial orders F[sup(d,u,u')][sub(I??,z)]""; ""6.10 Summary ""
327   $a""7 Classification of skeletal CFPOs (Part 2)""""7.1 Introduction""; ""7.2 The cycle-free partial orders g[sup(u,d,u',d')][sub(z)]""; ""7.3 Case 2: The cycle-free partial orders H[sup(u,d,u',d')][sub(z)]""; ""7.4 An empty case""; ""7.5 Case 3: The remaining few""; ""7.6 Conclusions in the skeletal case""; ""Appendix: Sporadic Cycle-free Partial Orders""; ""A.1 Introduction""; ""A.2 The classification""; ""A.3 Conclusions""
410  0$aMemoirs of the American Mathematical Society ;$vno. 614.
606   $aPartially ordered sets
606   $aCombinatorial set theory
615  0$aPartially ordered sets.
615  0$aCombinatorial set theory.
676   $a510  s
676   $a511.3/3
700   $aWarren$b Richard$f1967-$0324178
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910827858103321
996   $aThe structure of k-CS-transitive cycle-free partial orders$94105155
997   $aUNINA