Relations Related to Betweenness: Their Structure and Automorphisms [Memoirs of the American Mathematical
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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. Features: 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 considers their automorphism groups as important examples of Jordan permutation groups
Format:Hardcover
Language:English
ISBN:0821806238
ISBN13:9780821806234
Release Date:January 1998
Publisher:American Mathematical Society(RI)
Length:138 Pages
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