By Ian Chiswell
The speculation of Λ-trees has its beginning within the paintings of Lyndon on size features in teams. the 1st definition of an R-tree was once given via titties in 1977. the significance of Λ-trees used to be tested by way of Morgan and Shalen, who confirmed tips on how to compactify a generalisation of Teichmüller area for a finitely generated workforce utilizing R-trees. In that paintings they have been ended in outline the assumption of a Λ-tree, the place Λ is an arbitrary ordered abelian staff. given that then there was a lot growth in figuring out the constitution of teams performing on R-trees, particularly Rips' theorem on unfastened activities. There has additionally been a few growth for sure different ordered abelian teams Λ, together with a few fascinating connections with version theory.Introduction to Λ-Trees will turn out to be valuable for mathematicians and examine scholars in algebra and topology.
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