Classification of di-embeddings of the $n$-cube into $\mathbb{R}^n
A di-embedding of the n-cube I^n into \mathbb{r}^n is a map I ^n\to \mathbb{R}^n which is a dihomeomorphism onto its image.We show that such a map is, up to a permutation of coordinates, an n-fold product of 1-dimensional orientation preserving embeddings I^1 \to \mathbb{R}.
Gespeichert in:
| Veröffentlicht in: | Homology, homotopy, and applications homotopy, and applications, 2007, Vol.9 (1), p.213-220 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 220 |
|---|---|
| container_issue | 1 |
| container_start_page | 213 |
| container_title | Homology, homotopy, and applications |
| container_volume | 9 |
| creator | Fernandes, Praphat Nicas, Andrew |
| description | A di-embedding of the n-cube I^n into \mathbb{r}^n is a map I ^n\to
\mathbb{R}^n which is a dihomeomorphism onto its image.We show that such a map
is, up to a permutation of coordinates, an n-fold product of 1-dimensional
orientation preserving embeddings I^1 \to \mathbb{R}. |
| doi_str_mv | 10.4310/HHA.2007.v9.n1.a9 |
| format | Article |
| fullrecord | <record><control><sourceid>crossref_proje</sourceid><recordid>TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_hha_1175791094</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_4310_HHA_2007_v9_n1_a9</sourcerecordid><originalsourceid>FETCH-LOGICAL-c1429-45820b4b6ac0e9a8b9997e6907eb4f52a0fd80cbdc10828f3ccc8ddde5c71fbf3</originalsourceid><addsrcrecordid>eNo9kE1Lw0AURQdRsFZ_gLssuk18L5l0ZnbWYK1QEMTuxGE-zZQ2KZm0IOJ_t6Wlq3u5cM_iEHKPkNEC4WE2m2Q5AMt2ImswU-KCDLAs8hSA4-W5s-Ka3MS4BEDKCxyQp2qlYgw-GNWHtklan9iQurV21obmOx6GvnbJqBmlZqtdEpq-TUafa9XXWv--_301t-TKq1V0d6ccksX0-aOapfO3l9dqMk8N0lyktOQ5aKrHyoATimshBHNjAcxp6stcgbccjLYGgefcF8YYbq11pWHotS-G5PHI3XTt0pnebc0qWLnpwlp1P7JVQVaL-Wk9RV0richKJhAE3SPwiDBdG2Pn_PmNIA8e5d6jPHiUOyEblEoU__iLZ_k</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Classification of di-embeddings of the $n$-cube into $\mathbb{R}^n</title><source>International Press Journals</source><source>Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals</source><source>Alma/SFX Local Collection</source><creator>Fernandes, Praphat ; Nicas, Andrew</creator><creatorcontrib>Fernandes, Praphat ; Nicas, Andrew</creatorcontrib><description>A di-embedding of the n-cube I^n into \mathbb{r}^n is a map I ^n\to
\mathbb{R}^n which is a dihomeomorphism onto its image.We show that such a map
is, up to a permutation of coordinates, an n-fold product of 1-dimensional
orientation preserving embeddings I^1 \to \mathbb{R}.</description><identifier>ISSN: 1532-0073</identifier><identifier>EISSN: 1532-0081</identifier><identifier>DOI: 10.4310/HHA.2007.v9.n1.a9</identifier><language>eng</language><publisher>International Press of Boston</publisher><subject>55D99 ; 55P99 ; 68Q85 ; Dihomeomorphism ; partially ordered space ; progress graph</subject><ispartof>Homology, homotopy, and applications, 2007, Vol.9 (1), p.213-220</ispartof><rights>Copyright 2007 International Press of Boston</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,776,780,881,4009,27902,27903,27904</link.rule.ids></links><search><creatorcontrib>Fernandes, Praphat</creatorcontrib><creatorcontrib>Nicas, Andrew</creatorcontrib><title>Classification of di-embeddings of the $n$-cube into $\mathbb{R}^n</title><title>Homology, homotopy, and applications</title><description>A di-embedding of the n-cube I^n into \mathbb{r}^n is a map I ^n\to
\mathbb{R}^n which is a dihomeomorphism onto its image.We show that such a map
is, up to a permutation of coordinates, an n-fold product of 1-dimensional
orientation preserving embeddings I^1 \to \mathbb{R}.</description><subject>55D99</subject><subject>55P99</subject><subject>68Q85</subject><subject>Dihomeomorphism</subject><subject>partially ordered space</subject><subject>progress graph</subject><issn>1532-0073</issn><issn>1532-0081</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNo9kE1Lw0AURQdRsFZ_gLssuk18L5l0ZnbWYK1QEMTuxGE-zZQ2KZm0IOJ_t6Wlq3u5cM_iEHKPkNEC4WE2m2Q5AMt2ImswU-KCDLAs8hSA4-W5s-Ka3MS4BEDKCxyQp2qlYgw-GNWHtklan9iQurV21obmOx6GvnbJqBmlZqtdEpq-TUafa9XXWv--_301t-TKq1V0d6ccksX0-aOapfO3l9dqMk8N0lyktOQ5aKrHyoATimshBHNjAcxp6stcgbccjLYGgefcF8YYbq11pWHotS-G5PHI3XTt0pnebc0qWLnpwlp1P7JVQVaL-Wk9RV0richKJhAE3SPwiDBdG2Pn_PmNIA8e5d6jPHiUOyEblEoU__iLZ_k</recordid><startdate>2007</startdate><enddate>2007</enddate><creator>Fernandes, Praphat</creator><creator>Nicas, Andrew</creator><general>International Press of Boston</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>2007</creationdate><title>Classification of di-embeddings of the $n$-cube into $\mathbb{R}^n</title><author>Fernandes, Praphat ; Nicas, Andrew</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1429-45820b4b6ac0e9a8b9997e6907eb4f52a0fd80cbdc10828f3ccc8ddde5c71fbf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>55D99</topic><topic>55P99</topic><topic>68Q85</topic><topic>Dihomeomorphism</topic><topic>partially ordered space</topic><topic>progress graph</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Fernandes, Praphat</creatorcontrib><creatorcontrib>Nicas, Andrew</creatorcontrib><collection>CrossRef</collection><jtitle>Homology, homotopy, and applications</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fernandes, Praphat</au><au>Nicas, Andrew</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Classification of di-embeddings of the $n$-cube into $\mathbb{R}^n</atitle><jtitle>Homology, homotopy, and applications</jtitle><date>2007</date><risdate>2007</risdate><volume>9</volume><issue>1</issue><spage>213</spage><epage>220</epage><pages>213-220</pages><issn>1532-0073</issn><eissn>1532-0081</eissn><abstract>A di-embedding of the n-cube I^n into \mathbb{r}^n is a map I ^n\to
\mathbb{R}^n which is a dihomeomorphism onto its image.We show that such a map
is, up to a permutation of coordinates, an n-fold product of 1-dimensional
orientation preserving embeddings I^1 \to \mathbb{R}.</abstract><pub>International Press of Boston</pub><doi>10.4310/HHA.2007.v9.n1.a9</doi><tpages>8</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1532-0073 |
| ispartof | Homology, homotopy, and applications, 2007, Vol.9 (1), p.213-220 |
| issn | 1532-0073 1532-0081 |
| language | eng |
| recordid | cdi_projecteuclid_primary_oai_CULeuclid_euclid_hha_1175791094 |
| source | International Press Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Alma/SFX Local Collection |
| subjects | 55D99 55P99 68Q85 Dihomeomorphism partially ordered space progress graph |
| title | Classification of di-embeddings of the $n$-cube into $\mathbb{R}^n |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-24T13%3A46%3A50IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref_proje&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Classification%20of%20di-embeddings%20of%20the%20$n$-cube%20into%20$%5Cmathbb%7BR%7D%5En&rft.jtitle=Homology,%20homotopy,%20and%20applications&rft.au=Fernandes,%20Praphat&rft.date=2007&rft.volume=9&rft.issue=1&rft.spage=213&rft.epage=220&rft.pages=213-220&rft.issn=1532-0073&rft.eissn=1532-0081&rft_id=info:doi/10.4310/HHA.2007.v9.n1.a9&rft_dat=%3Ccrossref_proje%3E10_4310_HHA_2007_v9_n1_a9%3C/crossref_proje%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |