Cohomology theories in synthetic differential geometry
One way of formulating De Rham's theorem' smoothly in parameters' is to construct the De Rham cohomology groups, and the (duals of the) singular homology groups as sheaves of smooth modules over the space of parameters, and then to assert that these sheaves are canonically isomorphic.
- Autores:
-
Moerdijk, Ieke
Reyes, Gonzalo E.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1986
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/48884
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/48884
http://bdigital.unal.edu.co/42341/
- Palabra clave:
- Formulate de Rham
theorem
parameters
Rham groups
cohomology
homology groups
pulleys modules
parameter space
canonically isomorphic
- 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_abf2Moerdijk, Iekeca914da7-3183-44ff-bb15-d944d839abe6300Reyes, Gonzalo E.89311e67-5854-4ccd-b0fc-41c15557a06e3002019-06-29T08:10:58Z2019-06-29T08:10:58Z1986https://repositorio.unal.edu.co/handle/unal/48884http://bdigital.unal.edu.co/42341/One way of formulating De Rham's theorem' smoothly in parameters' is to construct the De Rham cohomology groups, and the (duals of the) singular homology groups as sheaves of smooth modules over the space of parameters, and then to assert that these sheaves are canonically isomorphic.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/32711Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 20, núm. 3-4 (1986); 223-276 2357-4100 0034-7426Moerdijk, Ieke and Reyes, Gonzalo E. (1986) Cohomology theories in synthetic differential geometry. Revista Colombiana de Matemáticas; Vol. 20, núm. 3-4 (1986); 223-276 2357-4100 0034-7426 .Cohomology theories in synthetic differential geometryArtículo 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/ARTFormulate de RhamtheoremparametersRham groupscohomologyhomology groupspulleys modulesparameter spacecanonically isomorphicORIGINAL32711-121060-1-PB.pdfapplication/pdf15620449https://repositorio.unal.edu.co/bitstream/unal/48884/1/32711-121060-1-PB.pdfc9b3fc5794e54a45f5f0ca2f172b41c7MD51THUMBNAIL32711-121060-1-PB.pdf.jpg32711-121060-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6488https://repositorio.unal.edu.co/bitstream/unal/48884/2/32711-121060-1-PB.pdf.jpg5c261a6c7298404fd7d52e08b19ea585MD52unal/48884oai:repositorio.unal.edu.co:unal/488842023-11-05 23:19:03.279Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
Cohomology theories in synthetic differential geometry |
| title |
Cohomology theories in synthetic differential geometry |
| spellingShingle |
Cohomology theories in synthetic differential geometry Formulate de Rham theorem parameters Rham groups cohomology homology groups pulleys modules parameter space canonically isomorphic |
| title_short |
Cohomology theories in synthetic differential geometry |
| title_full |
Cohomology theories in synthetic differential geometry |
| title_fullStr |
Cohomology theories in synthetic differential geometry |
| title_full_unstemmed |
Cohomology theories in synthetic differential geometry |
| title_sort |
Cohomology theories in synthetic differential geometry |
| dc.creator.fl_str_mv |
Moerdijk, Ieke Reyes, Gonzalo E. |
| dc.contributor.author.spa.fl_str_mv |
Moerdijk, Ieke Reyes, Gonzalo E. |
| dc.subject.proposal.spa.fl_str_mv |
Formulate de Rham theorem parameters Rham groups cohomology homology groups pulleys modules parameter space canonically isomorphic |
| topic |
Formulate de Rham theorem parameters Rham groups cohomology homology groups pulleys modules parameter space canonically isomorphic |
| description |
One way of formulating De Rham's theorem' smoothly in parameters' is to construct the De Rham cohomology groups, and the (duals of the) singular homology groups as sheaves of smooth modules over the space of parameters, and then to assert that these sheaves are canonically isomorphic. |
| publishDate |
1986 |
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1986 |
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2019-06-29T08:10:58Z |
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2019-06-29T08:10:58Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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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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https://repositorio.unal.edu.co/handle/unal/48884 |
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http://bdigital.unal.edu.co/42341/ |
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https://repositorio.unal.edu.co/handle/unal/48884 http://bdigital.unal.edu.co/42341/ |
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spa |
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spa |
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http://revistas.unal.edu.co/index.php/recolma/article/view/32711 |
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Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
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Revista Colombiana de Matemáticas; Vol. 20, núm. 3-4 (1986); 223-276 2357-4100 0034-7426 |
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Moerdijk, Ieke and Reyes, Gonzalo E. (1986) Cohomology theories in synthetic differential geometry. Revista Colombiana de Matemáticas; Vol. 20, núm. 3-4 (1986); 223-276 2357-4100 0034-7426 . |
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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/ |
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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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Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas |
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Universidad Nacional de Colombia |
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