Expansions géométriques et ampleur = - Geometric expansions and ampleness

Le résultat principal de cette the¿se est l'étude de l'ampleur dans des expansions des structures géométriques et de SU-rang oméga par un prédicat dense/codense indépendant. De plus, nous étudions le rapport entre l'ampleur et l'équationalite, donnant une preuve directe de l'...

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Autores:
Carmona González, Juan Felipe
Tipo de recurso:
Doctoral thesis
Fecha de publicación:
2015
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
fre
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/7841
Acceso en línea:
http://hdl.handle.net/1992/7841
Palabra clave:
Topología
Geometría
Matemáticas
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-sa/4.0/
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spelling Al consultar y hacer uso de este recurso, está aceptando las condiciones de uso establecidas por los autores.http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Martín-Pizarro, Amador71cdc14e-c830-4c9a-a84c-730301da10ea500Goodrick, John Richard9f8f3eb1-dd7b-4d5a-922c-791c86146add500Casanovas, Enrique48431ec5-3d89-4a24-97f4-dfdc805c96f4500Berenstein Opscholtens, Alexander Jonathanvirtual::9938-1Carmona González, Juan Felipe09d4a28e-b5cd-4ca9-a392-54772c3555015002018-09-27T16:39:45Z2018-09-27T16:39:45Z2015http://hdl.handle.net/1992/784110.57784/1992/7841u713594.pdfinstname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/Le résultat principal de cette the¿se est l'étude de l'ampleur dans des expansions des structures géométriques et de SU-rang oméga par un prédicat dense/codense indépendant. De plus, nous étudions le rapport entre l'ampleur et l'équationalite, donnant une preuve directe de l'équationalite de certaines théories CM-triviales. Enfin, nous considérons la topologie indiscernable et son lien avec l'équationalite et calculons la complexité indiscernable du pseudoplan libre = The main result of this thesis is the study of how ampleness grows in geometric and SU-rank omega structures when adding a new independent dense/codense subset. In another direction, we explore relations of ampleness with equational theories; there, we give a direct proof of the equationality of certain CM-trivial theories. Finally, we study indiscernible closed sets which are closely related with equations and measure their complexity in the free pseudoplaneDoctor en MatemáticasDoctorado87 hojasapplication/pdffreengUniandesDoctorado en MatemáticasFacultad de CienciasDepartamento de Matemáticasinstname:Universidad de los Andesreponame:Repositorio Institucional SénecaExpansions géométriques et ampleur = - Geometric expansions and amplenessGeometric expansions and amplenessTrabajo de grado - Doctoradoinfo:eu-repo/semantics/doctoralThesishttp://purl.org/coar/resource_type/c_db06http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/TDTopologíaGeometríaMatemáticasPublicationhttps://scholar.google.es/citations?user=MVlKsDoAAAAJvirtual::9938-10000-0002-1469-1864virtual::9938-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000506192virtual::9938-135d4330d-15bb-4966-b61d-b2dad6b185c8virtual::9938-135d4330d-15bb-4966-b61d-b2dad6b185c8virtual::9938-1THUMBNAILu713594.pdf.jpgu713594.pdf.jpgIM Thumbnailimage/jpeg11586https://repositorio.uniandes.edu.co/bitstreams/858597fb-15fd-4e8f-8782-2c1e0b9f5d33/downloadf115e1ad9c4c34ca8397ea80c43365a8MD55ORIGINALu713594.pdfapplication/pdf910156https://repositorio.uniandes.edu.co/bitstreams/c52610cc-3336-496a-a5e6-ddd71362894a/download23dde17c3e918646d2522d4624c6af79MD51TEXTu713594.pdf.txtu713594.pdf.txtExtracted texttext/plain149383https://repositorio.uniandes.edu.co/bitstreams/8433cf0a-c82b-4f50-ac5b-218444e0d1b9/download0761c1e4e836032bed684c6d5bb4e0d2MD541992/7841oai:repositorio.uniandes.edu.co:1992/78412024-08-26 15:23:58.38http://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.co
dc.title.es_CO.fl_str_mv Expansions géométriques et ampleur = - Geometric expansions and ampleness
dc.title.alternative.es_CO.fl_str_mv Geometric expansions and ampleness
title Expansions géométriques et ampleur = - Geometric expansions and ampleness
spellingShingle Expansions géométriques et ampleur = - Geometric expansions and ampleness
Topología
Geometría
Matemáticas
title_short Expansions géométriques et ampleur = - Geometric expansions and ampleness
title_full Expansions géométriques et ampleur = - Geometric expansions and ampleness
title_fullStr Expansions géométriques et ampleur = - Geometric expansions and ampleness
title_full_unstemmed Expansions géométriques et ampleur = - Geometric expansions and ampleness
title_sort Expansions géométriques et ampleur = - Geometric expansions and ampleness
dc.creator.fl_str_mv Carmona González, Juan Felipe
dc.contributor.advisor.none.fl_str_mv Martín-Pizarro, Amador
Goodrick, John Richard
Casanovas, Enrique
Berenstein Opscholtens, Alexander Jonathan
dc.contributor.author.none.fl_str_mv Carmona González, Juan Felipe
dc.subject.keyword.es_CO.fl_str_mv Topología
Geometría
topic Topología
Geometría
Matemáticas
dc.subject.themes.none.fl_str_mv Matemáticas
description Le résultat principal de cette the¿se est l'étude de l'ampleur dans des expansions des structures géométriques et de SU-rang oméga par un prédicat dense/codense indépendant. De plus, nous étudions le rapport entre l'ampleur et l'équationalite, donnant une preuve directe de l'équationalite de certaines théories CM-triviales. Enfin, nous considérons la topologie indiscernable et son lien avec l'équationalite et calculons la complexité indiscernable du pseudoplan libre = The main result of this thesis is the study of how ampleness grows in geometric and SU-rank omega structures when adding a new independent dense/codense subset. In another direction, we explore relations of ampleness with equational theories; there, we give a direct proof of the equationality of certain CM-trivial theories. Finally, we study indiscernible closed sets which are closely related with equations and measure their complexity in the free pseudoplane
publishDate 2015
dc.date.issued.none.fl_str_mv 2015
dc.date.accessioned.none.fl_str_mv 2018-09-27T16:39:45Z
dc.date.available.none.fl_str_mv 2018-09-27T16:39:45Z
dc.type.spa.fl_str_mv Trabajo de grado - Doctorado
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identifier_str_mv 10.57784/1992/7841
u713594.pdf
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language fre
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eu_rights_str_mv openAccess
dc.format.extent.es_CO.fl_str_mv 87 hojas
dc.format.mimetype.es_CO.fl_str_mv application/pdf
dc.publisher.es_CO.fl_str_mv Uniandes
dc.publisher.program.es_CO.fl_str_mv Doctorado en Matemáticas
dc.publisher.faculty.es_CO.fl_str_mv Facultad de Ciencias
dc.publisher.department.es_CO.fl_str_mv Departamento de Matemáticas
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