Relations related to betweenness : their structure and automorphisms
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Bibliographic Information
Relations related to betweenness : their structure and automorphisms
（Memoirs of the American Mathematical Society, no. 623）
American Mathematical Society, 1998
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"January 1998, volume 131, number 623 (third of 4 numbers)" .
Includes bibliographical references
Description and Table of Contents
Description
This volume is about tree-like structures, namely semilinear ordering, general betweenness relations, $C$-relations and $D$-relations. It contains a systematic study of betweenness and introduces $C$ and $D$-relations to describe the behavior of points at infinity ('leaves' or 'ends' or 'directions') of trees. The focus is on structure theorems and on automorphism groups, with applications to the theory of infinite permutation groups. This work: offers the first systematic treatment of betweenness relations; introduces important new concepts of $C$-relations and $D$-relations; elucidates the close relationships between semilinear orderings, betweenness relations, $C$ and $D$-relations; and, considers their automorphism groups as important examples of Jordan permutation groups.
Table of Contents
Preparation Semilinear order relations Abstract chain sets General betweenness relations Abstract direction sets Applications and commentary References.
by "Nielsen BookData"