Lax Algebras in Homotopy Theory

Información del proyecto

LAXALGHOMOTOP

Identificador del acuerdo de subvención: 224855

Proyecto cerrado

Fecha de inicio 1 Enero 2009

Fecha de finalización 31 Diciembre 2012

Financiado con arreglo a

• Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Coste total € 100 000,00

Aportación de la UE € 100 000,00

Coordinado por

ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE
Switzerland

Objetivo

The researcher Dr. Gavin J. Seal will investigate the theory of lax algebras in the context of homotopy theory. His work will be conducted at the Ecole Polytechnique Fédérale de Lausanne, in Switzerland, in collaboration with Prof. Kathryn Hess Bellwald and her research group. Based on the most recent developments in category theory, lax algebras allow a unified approach to the main fundamental structures of topology. The project will contribute to the advancement of the theory of lax algebras by exploiting its links with categorical homotopy theory: the theory of locales, higher-dimensional category theory, model theory, convergence theory, descent theory, etc. In return, the abstraction allowed by lax algebras will provide a reference point for the development of generalizations of homotopy theories, ranging from metric to uniform interpretations. The researcher's original, independent, and successful research career, as well as the high quality of his host at the host institute, all contribute to the success of the project. The researcher's international professional network, as well as his expertise, will provide the European Union with a crucial mathematical asset.

Ámbito científico (EuroSciVoc)

CORDIS clasifica los proyectos con EuroSciVoc, una taxonomía plurilingüe de ámbitos científicos, mediante un proceso semiautomático basado en técnicas de procesamiento del lenguaje natural. Véase: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.

• ciencias naturales › matemáticas › matemáticas puras › matemáticas discretas › lógica matemática
• ciencias naturales › matemáticas › matemáticas puras › topología
• ciencias naturales › matemáticas › matemáticas puras › álgebra

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Palabras clave

• Algebraic topology
• Category theory
• Convergence theory
• Descent theory
• Domain theory
• Fibrewise topology
• Locale theory

Programa(s)

• FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Tema(s)

• PEOPLE-2007-4-3.IRG - Marie Curie Action: "International Reintegration Grants"

Convocatoria de propuestas

FP7-PEOPLE-2007-4-3-IRG
Consulte otros proyectos de esta convocatoria

Régimen de financiación

MC-IRG - International Re-integration Grants (IRG)

Coordinador

ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE

• Aportación de la UE: € 100 000,00
• Dirección: BATIMENT CE 3316 STATION 1 ; 1015 Lausanne ; Suiza
• Región: Schweiz/Suisse/Svizzera › Région lémanique › Vaud
• Tipo de actividad: Higher or Secondary Education Establishments
• Coste total: Sin datos