On kan's condition
In the category Δo Ens , of the simplicial sets, there exists a "Unit interval" : the simplicial set Δ[1], with extremities εi : Δ[0] → Δ[1] (i = 0, 1) ([1], [2] ). On the other hand, since in Δo Ens, the products are representable and Δ[0] is a final object, t...
- Autores:
-
Ruiz Salguero, Carlos
Ruiz, Roberto
Frias, S.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1972
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/42232
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/42232
http://bdigital.unal.edu.co/32329/
- Palabra clave:
- simplicial set
homotopy
homotypic
commutative diagram
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Ruiz Salguero, Carlosabf33f8e-227e-4e59-9bbc-5b7eb17362b5300Ruiz, Robertoff0b294c-1f13-4300-af30-82a5908603f9300Frias, S.0e5109e9-a3b5-41a9-818d-cb8fb072402a3002019-06-28T10:38:26Z2019-06-28T10:38:26Z1972https://repositorio.unal.edu.co/handle/unal/42232http://bdigital.unal.edu.co/32329/In the category Δo Ens , of the simplicial sets, there exists a "Unit interval" : the simplicial set Δ[1], with extremities εi : Δ[0] → Δ[1] (i = 0, 1) ([1], [2] ). On the other hand, since in Δo Ens, the products are representable and Δ[0] is a final object, these exists in Δo Ens, a completely natural notion of homotopy : two arrows fo , f1 : X → Y are "simply homotopic" if there is an arrow F which makes the following diagram commutative.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/31821Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 6, núm. 1 (1972); 1-16 0034-7426Ruiz Salguero, Carlos and Ruiz, Roberto and Frias, S. (1972) On kan's condition. Revista Colombiana de Matemáticas; Vol. 6, núm. 1 (1972); 1-16 0034-7426 .On kan's conditionArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTsimplicial sethomotopyhomotypiccommutative diagramORIGINAL31821-116251-1-PB.pdfapplication/pdf2811799https://repositorio.unal.edu.co/bitstream/unal/42232/1/31821-116251-1-PB.pdf5a610cb73a78b5b5ffc0c76dde38bee7MD51THUMBNAIL31821-116251-1-PB.pdf.jpg31821-116251-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4999https://repositorio.unal.edu.co/bitstream/unal/42232/2/31821-116251-1-PB.pdf.jpgff28c33427ed391ec32fd2fdd0f65cdbMD52unal/42232oai:repositorio.unal.edu.co:unal/422322024-02-04 23:06:16.095Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
On kan's condition |
| title |
On kan's condition |
| spellingShingle |
On kan's condition simplicial set homotopy homotypic commutative diagram |
| title_short |
On kan's condition |
| title_full |
On kan's condition |
| title_fullStr |
On kan's condition |
| title_full_unstemmed |
On kan's condition |
| title_sort |
On kan's condition |
| dc.creator.fl_str_mv |
Ruiz Salguero, Carlos Ruiz, Roberto Frias, S. |
| dc.contributor.author.spa.fl_str_mv |
Ruiz Salguero, Carlos Ruiz, Roberto Frias, S. |
| dc.subject.proposal.spa.fl_str_mv |
simplicial set homotopy homotypic commutative diagram |
| topic |
simplicial set homotopy homotypic commutative diagram |
| description |
In the category Δo Ens , of the simplicial sets, there exists a "Unit interval" : the simplicial set Δ[1], with extremities εi : Δ[0] → Δ[1] (i = 0, 1) ([1], [2] ). On the other hand, since in Δo Ens, the products are representable and Δ[0] is a final object, these exists in Δo Ens, a completely natural notion of homotopy : two arrows fo , f1 : X → Y are "simply homotopic" if there is an arrow F which makes the following diagram commutative. |
| publishDate |
1972 |
| dc.date.issued.spa.fl_str_mv |
1972 |
| dc.date.accessioned.spa.fl_str_mv |
2019-06-28T10:38:26Z |
| dc.date.available.spa.fl_str_mv |
2019-06-28T10:38:26Z |
| dc.type.spa.fl_str_mv |
Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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http://purl.org/redcol/resource_type/ART |
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http://purl.org/coar/resource_type/c_6501 |
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publishedVersion |
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https://repositorio.unal.edu.co/handle/unal/42232 |
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http://bdigital.unal.edu.co/32329/ |
| url |
https://repositorio.unal.edu.co/handle/unal/42232 http://bdigital.unal.edu.co/32329/ |
| dc.language.iso.spa.fl_str_mv |
spa |
| language |
spa |
| dc.relation.spa.fl_str_mv |
http://revistas.unal.edu.co/index.php/recolma/article/view/31821 |
| dc.relation.ispartof.spa.fl_str_mv |
Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
| dc.relation.ispartofseries.none.fl_str_mv |
Revista Colombiana de Matemáticas; Vol. 6, núm. 1 (1972); 1-16 0034-7426 |
| dc.relation.references.spa.fl_str_mv |
Ruiz Salguero, Carlos and Ruiz, Roberto and Frias, S. (1972) On kan's condition. Revista Colombiana de Matemáticas; Vol. 6, núm. 1 (1972); 1-16 0034-7426 . |
| dc.rights.spa.fl_str_mv |
Derechos reservados - Universidad Nacional de Colombia |
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http://purl.org/coar/access_right/c_abf2 |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
| dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
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Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
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openAccess |
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application/pdf |
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Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas |
| institution |
Universidad Nacional de Colombia |
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