Relations related to betweenness : their structure and automorphisms / / S.A. Adeleke, Peter M. Neumann

• Record Nr.: UNINA9910829046603321
• Autore: Adeleke S. A (Samson Adepoju), <1952->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [1998]; ©1998
• ISBN: 1-4704-0212-2
• Descrizione fisica: 1 online resource (141 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 623
• Disciplina: 510 s; 511.3/3
• Soggetti: Ordered algebraic structures; Betweenness relations (Mathematics); Automorphisms; Permutation groups
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "January 1998, volume 131, number 623 (third of 4 numbers)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""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""; ""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""; ""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""