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Introduction to [lambda]-trees /
"The theory of [lambda]-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 [lambda]-trees was established by Morgan and Shalen, who showed how to compactify a generalisation of Teichmüller spa...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; River Edge, N.J. :
World Scientific,
©2001.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Chiswell, Ian, |d 1948- | |
| 245 | 1 | 0 | |a Introduction to [lambda]-trees / |c Ian Chiswell. |
| 260 | |a Singapore ; |a River Edge, N.J. : |b World Scientific, |c ©2001. | ||
| 300 | |a 1 online resource (x, 315 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 504 | |a Includes bibliographical references (pages 297-305) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Ch. 1. Preliminaries. 1. Ordered abelian groups. 2. Metric spaces. 3. Graphs and simplicial trees. 4. Valuations -- ch. 2. [lambda]-trees and their construction. 1. Definition and elementary properties. 2. Special properties of R-trees. 3. Linear subtrees and ends. 4. Lyndon length functions -- ch. 3. Isometries of [lambda]-trees. 1. Theory of a single isometry. 2. Group actions as isometries. 3. Pairs of isometries. 4. Minimal actions -- ch. 4. Aspects of group actions on [lambda]-trees. 1. Introduction. 2. Actions of special classes of groups. 3. The action of the special linear group. 4. Measured laminations. 5. Hyperbolic surfaces. 6. Spaces of actions on R-trees -- ch. 5. Free actions. 1. Introduction. 2. Harrison's theorem. 3. Some examples. 4. Free actions of surface groups. 5. Non-standard free groups -- ch. 6. Rips' theorem. 1. Systems of isometries. 2. Minimal components. 3. Independent generators. 4. Interval exchanges and conclusion. | |
| 520 | |a "The theory of [lambda]-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 [lambda]-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 [lambda]-tree, where [lambda] 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 [lambda], including some interesting connections with model theory. Introduction to [lambda]-Trees will prove to be useful for mathematicians and research students in algebra and topology." | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Lambda algebra. | |
| 650 | 0 | |a Trees (Graph theory) | |
| 650 | 0 | |a Group theory. | |
| 650 | 6 | |a Lambda-algèbre. | |
| 650 | 6 | |a Arbres (Théorie des graphes) | |
| 650 | 6 | |a Théorie des groupes. | |
| 650 | 7 | |a MATHEMATICS |x Graphic Methods. |2 bisacsh | |
| 650 | 7 | |a Group theory |2 fast | |
| 650 | 7 | |a Lambda algebra |2 fast | |
| 650 | 7 | |a Trees (Graph theory) |2 fast | |
| 650 | 7 | |a Teoria dos grupos. |2 larpcal | |
| 650 | 7 | |a Teoria dos modelos. |2 larpcal | |
| 650 | 7 | |a Lógica matemática. |2 larpcal | |
| 650 | 7 | |a Árvores. |2 larpcal | |
| 776 | 0 | 8 | |i Print version: |a Chiswell, Ian, 1948- |t Introduction to [lambda]-trees. |d Singapore ; River Edge, N.J. : World Scientific, ©2001 |z 9810243863 |z 9789810243869 |w (DLC) 2001281032 |w (OCoLC)47032651 |
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