LEADER 03604nam 2200637 450 001 9910829046603321 005 20170822144209.0 010 $a1-4704-0212-2 035 $a(CKB)3360000000464807 035 $a(EBL)3114419 035 $a(SSID)ssj0000889186 035 $a(PQKBManifestationID)11488396 035 $a(PQKBTitleCode)TC0000889186 035 $a(PQKBWorkID)10875644 035 $a(PQKB)11695185 035 $a(MiAaPQ)EBC3114419 035 $a(RPAM)3544476 035 $a(PPN)195415078 035 $a(EXLCZ)993360000000464807 100 $a19970908h19981998 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRelations related to betweenness $etheir structure and automorphisms /$fS.A. Adeleke, Peter M. Neumann 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1998] 210 4$dİ1998 215 $a1 online resource (141 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 623 300 $a"January 1998, volume 131, number 623 (third of 4 numbers)." 311 $a0-8218-0623-8 320 $aIncludes bibliographical references. 327 $a""CONTENTS""; ""PART I. PREPARATION""; ""1 Introduction""; ""2 Terminology and notation""; ""3 Linear relational structures""; ""PART II: SEMILINEAR ORDER RELATIONS""; ""4 Semilinearly ordered sets""; ""5 Examples of semilinear orderings""; ""6 Automorphism groups of semilinear orderings""; ""7 Maximal chains in semilinear orderings""; ""8 Piecewise linear maximal chains in semilinear orderings""; ""9 Enriching a semilinear ordering""; ""PART III: ABSTRACT CHAIN SETS""; ""10 C-relations""; ""11 Examples of C-sets""; ""12 The classification of C-sets""; ""13 A topology for C-sets"" 327 $a""14 Automorphism groups of C-sets""""PART IV. GENERAL BETWEENNESS RELATIONS""; ""15 B-relations and general betweenness relations""; ""16 Lines, half-lines and directions in a B-set""; ""17 The relationship between B-sets and semilinear orderings""; ""18 Components of B-sets""; ""19 Branch points and sectors of B-sets""; ""20 Automorphism groups of B-sets""; ""21 Improving a B-relation to a betweenness relation""; ""PART V: ABSTRACT DIRECTION SETS""; ""22 D-relations""; ""23 Examples of D-sets""; ""24 Structural partitions""; ""25 Linking of structural partitions"" 327 $a""26 The betweenness relation derived from a D-relation""""27 The topology on a D-set""; ""28 Automorphism groups of D-sets""; ""PART VI: APPLICATIONS AND COMMENTARY""; ""29 Combinatorial trees and discrete B-sets""; ""30 Arboreal group theory""; ""31 B-relations and topological spaces""; ""32 Cameron's tree-like objects""; ""33 B-relations and partially ordered sets""; ""34 Configurations of sets, with applications to permutation groups""; ""REFERENCES"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 623. 606 $aOrdered algebraic structures 606 $aBetweenness relations (Mathematics) 606 $aAutomorphisms 606 $aPermutation groups 615 0$aOrdered algebraic structures. 615 0$aBetweenness relations (Mathematics) 615 0$aAutomorphisms. 615 0$aPermutation groups. 676 $a510 s 676 $a511.3/3 700 $aAdeleke$b S. A$g(Samson Adepoju),$f1952-$01594152 702 $aNeumann$b P. M. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910829046603321 996 $aRelations related to betweenness$93914607 997 $aUNINA