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Relations related to betweenness : their structure and automorphisms / / S.A. Adeleke, Peter M. Neumann
| Relations related to betweenness : their structure and automorphisms / / S.A. Adeleke, Peter M. Neumann |
| Autore | Adeleke S. A (Samson Adepoju), <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (141 p.) |
| Disciplina |
510 s
511.3/3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Ordered algebraic structures
Betweenness relations (Mathematics) Automorphisms Permutation groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0212-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480507903321 |
Adeleke S. A (Samson Adepoju), <1952->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Relations related to betweenness : their structure and automorphisms / / S.A. Adeleke, Peter M. Neumann
| Relations related to betweenness : their structure and automorphisms / / S.A. Adeleke, Peter M. Neumann |
| Autore | Adeleke S. A (Samson Adepoju), <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (141 p.) |
| Disciplina |
510 s
511.3/3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Ordered algebraic structures
Betweenness relations (Mathematics) Automorphisms Permutation groups |
| ISBN | 1-4704-0212-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788733603321 |
|
Adeleke S. A (Samson Adepoju), <1952->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Relations related to betweenness : their structure and automorphisms / / S.A. Adeleke, Peter M. Neumann
| Relations related to betweenness : their structure and automorphisms / / S.A. Adeleke, Peter M. Neumann |
| Autore | Adeleke S. A (Samson Adepoju), <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (141 p.) |
| Disciplina |
510 s
511.3/3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Ordered algebraic structures
Betweenness relations (Mathematics) Automorphisms Permutation groups |
| ISBN | 1-4704-0212-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910829046603321 |
|
Adeleke S. A (Samson Adepoju), <1952->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||