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Gesture Theory: topos-theoretic perspectives and philosophical framework
dc.rights.license | Atribución-NoComercial 4.0 Internacional |
dc.contributor | Zalamea Traba, Fernando |
dc.contributor.author | Arias Valero, Juan Sebastián |
dc.date.accessioned | 2019-07-02T21:41:43Z |
dc.date.available | 2019-07-02T21:41:43Z |
dc.date.issued | 2018-04 |
dc.identifier.uri | https://repositorio.unal.edu.co/handle/unal/63339 |
dc.description.abstract | Abstract: Using tools from category theory and 2-category theory, in particular from topos theory, we present the rudiments of a theory of mathematical gestures and hypergestures, including diverse incarnations thereof: topological gestures, gestures on locales, gestures on topological categories, gestures in elementary topoi, diagrams in categories, Mazzola's formulas, and gestures on Grothendieck topoi. In particular, we address the problem of the exponential presentation of certain objects of gestures and hypergestures in some of these instances, for example, in the representative cases of gestures on topological spaces and diagrams in categories. After the mathematical work, we present a philosophical and methodological reflection on gesture theory, mainly based on Galois, Riemann, Kan, Grothendieck, Peirce, Merleau-Ponty, Zalamea, and Mazzola. |
dc.format.mimetype | application/pdf |
dc.language.iso | spa |
dc.relation.ispartof | Universidad Nacional de Colombia Sede Bogotá Facultad de Ciencias Departamento de Matemáticas Matemáticas |
dc.relation.ispartof | Matemáticas |
dc.rights | Derechos reservados - Universidad Nacional de Colombia |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ |
dc.subject.ddc | 1 Filosofía y psicología / Philosophy and psychology |
dc.subject.ddc | 51 Matemáticas / Mathematics |
dc.subject.ddc | 78 Música / Music |
dc.title | Gesture Theory: topos-theoretic perspectives and philosophical framework |
dc.type | Trabajo de grado - Doctorado |
dc.type.driver | info:eu-repo/semantics/doctoralThesis |
dc.type.version | info:eu-repo/semantics/acceptedVersion |
dc.identifier.eprints | http://bdigital.unal.edu.co/63632/ |
dc.description.degreelevel | Doctorado |
dc.relation.references | Arias Valero, Juan Sebastián (2018) Gesture Theory: topos-theoretic perspectives and philosophical framework. Doctorado thesis, Universidad Nacional de Colombia - Sede Bogotá. |
dc.rights.accessrights | info:eu-repo/semantics/openAccess |
dc.subject.proposal | Gesture theory |
dc.subject.proposal | Mathematical music theory |
dc.subject.proposal | Mathematical philosophy |
dc.subject.proposal | Topos theory |
dc.subject.proposal | Simplicial sets |
dc.subject.proposal | Semi-simplicial sets |
dc.subject.proposal | Kan extensions |
dc.subject.proposal | Weighted limits |
dc.type.coar | http://purl.org/coar/resource_type/c_db06 |
dc.type.coarversion | http://purl.org/coar/version/c_ab4af688f83e57aa |
dc.type.content | Text |
dc.type.redcol | http://purl.org/redcol/resource_type/TD |
oaire.accessrights | http://purl.org/coar/access_right/c_abf2 |
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