I
Identifieur interne : 002244 ( Main/Exploration ); précédent : 002243; suivant : 002245I
Auteurs : M. HazewinkelSource :
- Encyclopaedia of Mathematics ; 1990.
Abstract
Abstract: Icosahedral Space - The three-dimensional space that is the orbit space of the action of the binary icosahedron group on the three-dimensional sphere. It was discovered by H. Poincaré as an example of a homology sphere of genus 2 in the consideration of Heegaard diagrams (cf.Heegaard diagram). The icosahedral space is a p -sheeted covering of S 3ramified along a torus knot of type (q, r ), where p, q, r is any permutation of the numbers 2, 3, 5. The icosahedral space can be defined analytically as the intersection of the surface z 2 1 + z 3 2 + z 5 3 = 0 in C 2 with the unit sphere. Finally, the icosahedral space can be identified with the dodecahedral space.
Url:
DOI: 10.1007/978-94-009-5988-0_1
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 000F49
- to stream Istex, to step Curation: 000F49
- to stream Istex, to step Checkpoint: 002011
- to stream Main, to step Merge: 002270
- to stream Main, to step Curation: 002244
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">I</title><author><name sortKey="Hazewinkel, M" sort="Hazewinkel, M" uniqKey="Hazewinkel M" first="M." last="Hazewinkel">M. Hazewinkel</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:4C4811814CD4BB6BF0757376D4BB8104B5BC5CA2</idno><date when="1990" year="1990">1990</date><idno type="doi">10.1007/978-94-009-5988-0_1</idno><idno type="url">https://api.istex.fr/document/4C4811814CD4BB6BF0757376D4BB8104B5BC5CA2/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">000F49</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000F49</idno><idno type="wicri:Area/Istex/Curation">000F49</idno><idno type="wicri:Area/Istex/Checkpoint">002011</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">002011</idno><idno type="wicri:Area/Main/Merge">002270</idno><idno type="wicri:Area/Main/Curation">002244</idno><idno type="wicri:Area/Main/Exploration">002244</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">I</title><author><name sortKey="Hazewinkel, M" sort="Hazewinkel, M" uniqKey="Hazewinkel M" first="M." last="Hazewinkel">M. Hazewinkel</name></author></analytic><monogr></monogr><series><title level="s">Encyclopaedia of Mathematics</title><imprint><date>1990</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: Icosahedral Space - The three-dimensional space that is the orbit space of the action of the binary icosahedron group on the three-dimensional sphere. It was discovered by H. Poincaré as an example of a homology sphere of genus 2 in the consideration of Heegaard diagrams (cf.Heegaard diagram). The icosahedral space is a p -sheeted covering of S 3ramified along a torus knot of type (q, r ), where p, q, r is any permutation of the numbers 2, 3, 5. The icosahedral space can be defined analytically as the intersection of the surface z 2 1 + z 3 2 + z 5 3 = 0 in C 2 with the unit sphere. Finally, the icosahedral space can be identified with the dodecahedral space.</div></front></TEI><affiliations><list></list><tree><noCountry><name sortKey="Hazewinkel, M" sort="Hazewinkel, M" uniqKey="Hazewinkel M" first="M." last="Hazewinkel">M. Hazewinkel</name></noCountry></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 002244 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 002244 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Mathematiques
|area= BourbakiV1
|flux= Main
|étape= Exploration
|type= RBID
|clé= ISTEX:4C4811814CD4BB6BF0757376D4BB8104B5BC5CA2
|texte= I
}}
| This area was generated with Dilib version V0.6.33. |  |