Adeleke, S. A. 1952-
Relations related to betweenness : their structure and automorphisms / [electronic resource] S.A. Adeleke, Peter M. Neumann. - Providence, R.I. : American Mathematical Society, c1998. - 1 online resource (viii, 125 p.) - Memoirs of the American Mathematical Society, v. 623 0065-9266 (print); 1947-6221 (online); .
"January 1998, volume 131, number 623 (third of 4 numbers)."
Includes bibliographical references (p. 123-125).
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
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9781470402129 (online)
Ordered algebraic structures.
Betweenness relations (Mathematics)
Automorphisms.
Permutation groups.
QA3 QA172 / .A57 no. 623
510 s 511.3/3
Relations related to betweenness : their structure and automorphisms / [electronic resource] S.A. Adeleke, Peter M. Neumann. - Providence, R.I. : American Mathematical Society, c1998. - 1 online resource (viii, 125 p.) - Memoirs of the American Mathematical Society, v. 623 0065-9266 (print); 1947-6221 (online); .
"January 1998, volume 131, number 623 (third of 4 numbers)."
Includes bibliographical references (p. 123-125).
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
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9781470402129 (online)
Ordered algebraic structures.
Betweenness relations (Mathematics)
Automorphisms.
Permutation groups.
QA3 QA172 / .A57 no. 623
510 s 511.3/3