CAT(0) cube complexes: an introduction
In recent years cube complexes have become a cornerstone topic of geometric group theory and have proven to be a powerful tool in other areas, such as low dimensional topology, phylogenetic trees or in the context of optimization problems. This book covers a wide variety of algebraic and geometric p...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Springer
[2023]
|
| Schriftenreihe: | Lecture notes in mathematics
Volume 2324 |
| Zusammenfassung: | In recent years cube complexes have become a cornerstone topic of geometric group theory and have proven to be a powerful tool in other areas, such as low dimensional topology, phylogenetic trees or in the context of optimization problems. This book covers a wide variety of algebraic and geometric properties of cube complexes and the groups acting on them. The content ranges from basic properties of metric spaces, notions of non-positive curvature, Gromov's link condition and the Švarc–Milnor theorem to advanced material such as the cubulation of half-space systems and the Roller boundary, the construction of cube complexes associated with Coxeter groups, and the Tits alternative for cubical groups. Being the first self-contained, comprehensive introduction to cube complexes this book serves as an entry point for researchers interested in the subject. The material is accessible to advanced undergraduate and graduate students. The text is illustrated with many figures and examples and comes with a large collection of exercises. |
| Beschreibung: | xii, 186 Seiten Illustrationen, Diagramme |
| ISBN: | 9783031436215 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV049578694 | ||
| 003 | DE-604 | ||
| 005 | 20240719 | ||
| 007 | t | ||
| 008 | 240221s2023 sz a||| |||| 00||| eng d | ||
| 020 | |a 9783031436215 |c paperback |9 978-3-031-43621-5 | ||
| 024 | 7 | |a 10.1007/978-3-031-43622-2 |2 doi | |
| 035 | |a (OCoLC)1422138176 | ||
| 035 | |a (DE-599)KXP1880841495 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a sz |c XA-CH | ||
| 049 | |a DE-188 |a DE-83 | ||
| 084 | |a 57-01 |2 msc/2020 | ||
| 100 | 1 | |a Schwer, Petra |d 1979- |0 (DE-588)1154819779 |4 aut | |
| 245 | 1 | 0 | |a CAT(0) cube complexes |b an introduction |c Petra Schwer |
| 246 | 1 | 3 | |a CAT-zero cube complexes |
| 264 | 1 | |a Cham, Switzerland |b Springer |c [2023] | |
| 264 | 4 | |c © 2023 | |
| 300 | |a xii, 186 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v Volume 2324 | |
| 520 | 3 | |a In recent years cube complexes have become a cornerstone topic of geometric group theory and have proven to be a powerful tool in other areas, such as low dimensional topology, phylogenetic trees or in the context of optimization problems. This book covers a wide variety of algebraic and geometric properties of cube complexes and the groups acting on them. The content ranges from basic properties of metric spaces, notions of non-positive curvature, Gromov's link condition and the Švarc–Milnor theorem to advanced material such as the cubulation of half-space systems and the Roller boundary, the construction of cube complexes associated with Coxeter groups, and the Tits alternative for cubical groups. Being the first self-contained, comprehensive introduction to cube complexes this book serves as an entry point for researchers interested in the subject. The material is accessible to advanced undergraduate and graduate students. The text is illustrated with many figures and examples and comes with a large collection of exercises. | |
| 710 | 2 | |a Springer Nature Switzerland AG |0 (DE-588)1211528561 |4 pbl | |
| 776 | 0 | |z 9783031436222 |c ebook | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |a Schwer, Petra |t CAT(0) Cube Complexes |b 1st ed. 2023. |d Cham : Springer International Publishing, 2023 |h 1 Online-Ressource(XII, 188 p. 70 illus., 42 illus. in color.) |z 9783031436222 |w (DE-604)BV049526932 |
| 830 | 0 | |a Lecture notes in mathematics |v Volume 2324 |w (DE-604)BV000676446 |9 2324 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-034923672 | |
Datensatz im Suchindex
| _version_ | 1805088053194129408 |
|---|---|
| adam_text | |
| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| author | Schwer, Petra 1979- |
| author_GND | (DE-588)1154819779 |
| author_facet | Schwer, Petra 1979- |
| author_role | aut |
| author_sort | Schwer, Petra 1979- |
| author_variant | p s ps |
| building | Verbundindex |
| bvnumber | BV049578694 |
| ctrlnum | (OCoLC)1422138176 (DE-599)KXP1880841495 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV049578694</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20240719</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">240221s2023 sz a||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783031436215</subfield><subfield code="c">paperback</subfield><subfield code="9">978-3-031-43621-5</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-031-43622-2</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1422138176</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)KXP1880841495</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">sz</subfield><subfield code="c">XA-CH</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">57-01</subfield><subfield code="2">msc/2020</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schwer, Petra</subfield><subfield code="d">1979-</subfield><subfield code="0">(DE-588)1154819779</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">CAT(0) cube complexes</subfield><subfield code="b">an introduction</subfield><subfield code="c">Petra Schwer</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">CAT-zero cube complexes</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cham, Switzerland</subfield><subfield code="b">Springer</subfield><subfield code="c">[2023]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2023</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xii, 186 Seiten</subfield><subfield code="b">Illustrationen, Diagramme</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">Volume 2324</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">In recent years cube complexes have become a cornerstone topic of geometric group theory and have proven to be a powerful tool in other areas, such as low dimensional topology, phylogenetic trees or in the context of optimization problems. This book covers a wide variety of algebraic and geometric properties of cube complexes and the groups acting on them. The content ranges from basic properties of metric spaces, notions of non-positive curvature, Gromov's link condition and the Švarc–Milnor theorem to advanced material such as the cubulation of half-space systems and the Roller boundary, the construction of cube complexes associated with Coxeter groups, and the Tits alternative for cubical groups. Being the first self-contained, comprehensive introduction to cube complexes this book serves as an entry point for researchers interested in the subject. The material is accessible to advanced undergraduate and graduate students. The text is illustrated with many figures and examples and comes with a large collection of exercises.</subfield></datafield><datafield tag="710" ind1="2" ind2=" "><subfield code="a">Springer Nature Switzerland AG</subfield><subfield code="0">(DE-588)1211528561</subfield><subfield code="4">pbl</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="z">9783031436222</subfield><subfield code="c">ebook</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="a">Schwer, Petra</subfield><subfield code="t">CAT(0) Cube Complexes</subfield><subfield code="b">1st ed. 2023.</subfield><subfield code="d">Cham : Springer International Publishing, 2023</subfield><subfield code="h">1 Online-Ressource(XII, 188 p. 70 illus., 42 illus. in color.)</subfield><subfield code="z">9783031436222</subfield><subfield code="w">(DE-604)BV049526932</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">Volume 2324</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">2324</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-034923672</subfield></datafield></record></collection> |
| id | DE-604.BV049578694 |
| illustrated | Illustrated |
| index_date | 2024-07-03T23:31:48Z |
| indexdate | 2024-07-20T09:01:55Z |
| institution | BVB |
| institution_GND | (DE-588)1211528561 |
| isbn | 9783031436215 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034923672 |
| oclc_num | 1422138176 |
| open_access_boolean | |
| owner | DE-188 DE-83 |
| owner_facet | DE-188 DE-83 |
| physical | xii, 186 Seiten Illustrationen, Diagramme |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Schwer, Petra 1979- (DE-588)1154819779 aut CAT(0) cube complexes an introduction Petra Schwer CAT-zero cube complexes Cham, Switzerland Springer [2023] © 2023 xii, 186 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics Volume 2324 In recent years cube complexes have become a cornerstone topic of geometric group theory and have proven to be a powerful tool in other areas, such as low dimensional topology, phylogenetic trees or in the context of optimization problems. This book covers a wide variety of algebraic and geometric properties of cube complexes and the groups acting on them. The content ranges from basic properties of metric spaces, notions of non-positive curvature, Gromov's link condition and the Švarc–Milnor theorem to advanced material such as the cubulation of half-space systems and the Roller boundary, the construction of cube complexes associated with Coxeter groups, and the Tits alternative for cubical groups. Being the first self-contained, comprehensive introduction to cube complexes this book serves as an entry point for researchers interested in the subject. The material is accessible to advanced undergraduate and graduate students. The text is illustrated with many figures and examples and comes with a large collection of exercises. Springer Nature Switzerland AG (DE-588)1211528561 pbl 9783031436222 ebook Erscheint auch als Online-Ausgabe Schwer, Petra CAT(0) Cube Complexes 1st ed. 2023. Cham : Springer International Publishing, 2023 1 Online-Ressource(XII, 188 p. 70 illus., 42 illus. in color.) 9783031436222 (DE-604)BV049526932 Lecture notes in mathematics Volume 2324 (DE-604)BV000676446 2324 |
| spellingShingle | Schwer, Petra 1979- CAT(0) cube complexes an introduction Lecture notes in mathematics |
| title | CAT(0) cube complexes an introduction |
| title_alt | CAT-zero cube complexes |
| title_auth | CAT(0) cube complexes an introduction |
| title_exact_search | CAT(0) cube complexes an introduction |
| title_exact_search_txtP | CAT(0) cube complexes an introduction |
| title_full | CAT(0) cube complexes an introduction Petra Schwer |
| title_fullStr | CAT(0) cube complexes an introduction Petra Schwer |
| title_full_unstemmed | CAT(0) cube complexes an introduction Petra Schwer |
| title_short | CAT(0) cube complexes |
| title_sort | cat 0 cube complexes an introduction |
| title_sub | an introduction |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT schwerpetra cat0cubecomplexesanintroduction AT springernatureswitzerlandag cat0cubecomplexesanintroduction AT schwerpetra catzerocubecomplexes AT springernatureswitzerlandag catzerocubecomplexes |