INTRODUCTION TO LAMBDA TREES (eBook)

Ian Chiswell (Autor)

eBook Download: PDF

2001
328 Seiten
World Scientific Publishing Company (Verlag)
9789812810533 (ISBN)

Infos

The theory of Î-trees has its origin in the work of Lyndon on length functions in groups. The first definition of an R-tree was given by Tits in 1977. The importance of Î-trees was established by Morgan and Shalen, who showed how to compactify a generalisation of Teichmüller space for a finitely generated group using R-trees. In that work they were led to define the idea of a Î-tree, where Î is an arbitrary ordered abelian group. Since then there has been much progress in understanding the structure of groups acting on R-trees, notably Rips' theorem on free actions. There has also been some progress for certain other ordered abelian groups Î, including some interesting connections with model theory.Introduction to Î-Trees will prove to be useful for mathematicians and research students in algebra and topology.

Produkt-Details

• Erscheint lt. Verlag: 22.2.2001
• Verlagsort: Singapore
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-13: 9789812810533 / 9789812810533