Gems, computers and attractors for 3-manifolds:
This book is about dealing with 3-manifolds using computers. Its emphasis is on presenting algorithms which are used for solving (in practice) the homeomorphism problem for the smallest of these objects. The key concept is the 3-gem, a special kind of edge-colored graph, which encodes the manifold v...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1995
|
| Schriftenreihe: | Series on knots and everything
v. 5 |
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | This book is about dealing with 3-manifolds using computers. Its emphasis is on presenting algorithms which are used for solving (in practice) the homeomorphism problem for the smallest of these objects. The key concept is the 3-gem, a special kind of edge-colored graph, which encodes the manifold via a ball complex. Passages between 3-gems and more standard presentations like Heegaard diagrams and surgery descriptions are provided. A catalogue of all closed orientable 3-manifolds induced by 3-gems up to 30 vertices is included. In order to help the classification, various invariants are presented, including the new quantum invariants |
| Beschreibung: | xiv, 450 p. ill |
| ISBN: | 9789812796196 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV044635766 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 171120s1995 |||| o||u| ||||||eng d | ||
| 020 | |a 9789812796196 |9 978-981-279-619-6 | ||
| 024 | 7 | |a 10.1142/2490 |2 doi | |
| 035 | |a (ZDB-124-WOP)00005139 | ||
| 035 | |a (OCoLC)1012691437 | ||
| 035 | |a (DE-599)BVBBV044635766 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-92 | ||
| 082 | 0 | |a 514.223 |2 22 | |
| 100 | 1 | |a Lins, Sóstenes |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Gems, computers and attractors for 3-manifolds |c Sóstenes Lins |
| 264 | 1 | |a Singapore |b World Scientific Pub. Co. |c c1995 | |
| 300 | |a xiv, 450 p. |b ill | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Series on knots and everything |v v. 5 | |
| 520 | |a This book is about dealing with 3-manifolds using computers. Its emphasis is on presenting algorithms which are used for solving (in practice) the homeomorphism problem for the smallest of these objects. The key concept is the 3-gem, a special kind of edge-colored graph, which encodes the manifold via a ball complex. Passages between 3-gems and more standard presentations like Heegaard diagrams and surgery descriptions are provided. A catalogue of all closed orientable 3-manifolds induced by 3-gems up to 30 vertices is included. In order to help the classification, various invariants are presented, including the new quantum invariants | ||
| 650 | 4 | |a Three-manifolds (Topology) / Data processing | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9789810219079 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9810219075 |
| 856 | 4 | 0 | |u http://www.worldscientific.com/worldscibooks/10.1142/2490#t=toc |x Verlag |z URL des Erstveroeffentlichers |3 Volltext |
| 912 | |a ZDB-124-WOP | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-030033737 | ||
| 966 | e | |u http://www.worldscientific.com/worldscibooks/10.1142/2490#t=toc |l FHN01 |p ZDB-124-WOP |q FHN_PDA_WOP |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804178049221001216 |
|---|---|
| any_adam_object | |
| author | Lins, Sóstenes |
| author_facet | Lins, Sóstenes |
| author_role | aut |
| author_sort | Lins, Sóstenes |
| author_variant | s l sl |
| building | Verbundindex |
| bvnumber | BV044635766 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00005139 (OCoLC)1012691437 (DE-599)BVBBV044635766 |
| dewey-full | 514.223 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.223 |
| dewey-search | 514.223 |
| dewey-sort | 3514.223 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02028nmm a2200385zcb4500</leader><controlfield tag="001">BV044635766</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">171120s1995 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789812796196</subfield><subfield code="9">978-981-279-619-6</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1142/2490</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-124-WOP)00005139</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1012691437</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044635766</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514.223</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Lins, Sóstenes</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Gems, computers and attractors for 3-manifolds</subfield><subfield code="c">Sóstenes Lins</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore</subfield><subfield code="b">World Scientific Pub. Co.</subfield><subfield code="c">c1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xiv, 450 p.</subfield><subfield code="b">ill</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Series on knots and everything</subfield><subfield code="v">v. 5</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book is about dealing with 3-manifolds using computers. Its emphasis is on presenting algorithms which are used for solving (in practice) the homeomorphism problem for the smallest of these objects. The key concept is the 3-gem, a special kind of edge-colored graph, which encodes the manifold via a ball complex. Passages between 3-gems and more standard presentations like Heegaard diagrams and surgery descriptions are provided. A catalogue of all closed orientable 3-manifolds induced by 3-gems up to 30 vertices is included. In order to help the classification, various invariants are presented, including the new quantum invariants</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Three-manifolds (Topology) / Data processing</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9789810219079</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9810219075</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.worldscientific.com/worldscibooks/10.1142/2490#t=toc</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveroeffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-124-WOP</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030033737</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://www.worldscientific.com/worldscibooks/10.1142/2490#t=toc</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-124-WOP</subfield><subfield code="q">FHN_PDA_WOP</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV044635766 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:47Z |
| institution | BVB |
| isbn | 9789812796196 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030033737 |
| oclc_num | 1012691437 |
| open_access_boolean | |
| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xiv, 450 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | Series on knots and everything |
| spelling | Lins, Sóstenes Verfasser aut Gems, computers and attractors for 3-manifolds Sóstenes Lins Singapore World Scientific Pub. Co. c1995 xiv, 450 p. ill txt rdacontent c rdamedia cr rdacarrier Series on knots and everything v. 5 This book is about dealing with 3-manifolds using computers. Its emphasis is on presenting algorithms which are used for solving (in practice) the homeomorphism problem for the smallest of these objects. The key concept is the 3-gem, a special kind of edge-colored graph, which encodes the manifold via a ball complex. Passages between 3-gems and more standard presentations like Heegaard diagrams and surgery descriptions are provided. A catalogue of all closed orientable 3-manifolds induced by 3-gems up to 30 vertices is included. In order to help the classification, various invariants are presented, including the new quantum invariants Three-manifolds (Topology) / Data processing Erscheint auch als Druck-Ausgabe 9789810219079 Erscheint auch als Druck-Ausgabe 9810219075 http://www.worldscientific.com/worldscibooks/10.1142/2490#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Lins, Sóstenes Gems, computers and attractors for 3-manifolds Three-manifolds (Topology) / Data processing |
| title | Gems, computers and attractors for 3-manifolds |
| title_auth | Gems, computers and attractors for 3-manifolds |
| title_exact_search | Gems, computers and attractors for 3-manifolds |
| title_full | Gems, computers and attractors for 3-manifolds Sóstenes Lins |
| title_fullStr | Gems, computers and attractors for 3-manifolds Sóstenes Lins |
| title_full_unstemmed | Gems, computers and attractors for 3-manifolds Sóstenes Lins |
| title_short | Gems, computers and attractors for 3-manifolds |
| title_sort | gems computers and attractors for 3 manifolds |
| topic | Three-manifolds (Topology) / Data processing |
| topic_facet | Three-manifolds (Topology) / Data processing |
| url | http://www.worldscientific.com/worldscibooks/10.1142/2490#t=toc |
| work_keys_str_mv | AT linssostenes gemscomputersandattractorsfor3manifolds |