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 spac...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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World Scientific Pub. Co.
c2001
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| 100 | 1 | |a Chiswell, Ian |d 1948- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introduction to [lambda]-trees |c Ian Chiswell |
| 264 | 1 | |a Singapore |b World Scientific Pub. Co. |c c2001 | |
| 300 | |a x, 315 p. |b ill | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b cr |2 rdacarrier | ||
| 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" | ||
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Datensatz im Suchindex
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| author | Chiswell, Ian 1948- |
| author_facet | Chiswell, Ian 1948- |
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| dewey-full | 511.52 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.52 |
| dewey-search | 511.52 |
| dewey-sort | 3511.52 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| era | Geschichte 1900-1950 gnd |
| era_facet | Geschichte 1900-1950 |
| format | Electronic eBook |
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| id | DE-604.BV044636113 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:48Z |
| institution | BVB |
| isbn | 9789812810533 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030034085 |
| oclc_num | 1012665567 |
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| physical | x, 315 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2001 |
| publishDateSearch | 2001 |
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| publisher | World Scientific Pub. Co. |
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| spelling | Chiswell, Ian 1948- Verfasser aut Introduction to [lambda]-trees Ian Chiswell Singapore World Scientific Pub. Co. c2001 x, 315 p. ill txt rdacontent c rdamedia cr rdacarrier "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" USA Navy (DE-588)14543-9 gnd rswk-swf Geschichte 1900-1950 gnd rswk-swf Lambda algebra Trees (Graph theory) Group theory Gruppentheorie (DE-588)4072157-7 gnd rswk-swf USA Navy (DE-588)14543-9 b Geschichte 1900-1950 z DE-604 Gruppentheorie (DE-588)4072157-7 s Erscheint auch als Druck-Ausgabe 9789810243869 Erscheint auch als Druck-Ausgabe 9810243863 http://www.worldscientific.com/worldscibooks/10.1142/4495#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Chiswell, Ian 1948- Introduction to [lambda]-trees USA Navy (DE-588)14543-9 gnd Lambda algebra Trees (Graph theory) Group theory Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)14543-9 (DE-588)4072157-7 |
| title | Introduction to [lambda]-trees |
| title_auth | Introduction to [lambda]-trees |
| title_exact_search | Introduction to [lambda]-trees |
| title_full | Introduction to [lambda]-trees Ian Chiswell |
| title_fullStr | Introduction to [lambda]-trees Ian Chiswell |
| title_full_unstemmed | Introduction to [lambda]-trees Ian Chiswell |
| title_short | Introduction to [lambda]-trees |
| title_sort | introduction to lambda trees |
| topic | USA Navy (DE-588)14543-9 gnd Lambda algebra Trees (Graph theory) Group theory Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | USA Navy Lambda algebra Trees (Graph theory) Group theory Gruppentheorie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/4495#t=toc |
| work_keys_str_mv | AT chiswellian introductiontolambdatrees |