Download E-books Topologie algébrique: Chapitres 1 à 4 PDF

Ce livre des Éléments de mathématique est consacré à l. a. Topologie algébrique. Les quatre premiers chapitres présentent los angeles théorie des revêtements d'un espace topologique et du groupe de Poincaré. On construit le revêtement universel d'un espace connexe aspecté délaçable et on établit l'équivalence de catégories entre revêtements de cet espace et activities du groupe de Poincaré.

On démontre une model générale du théorème de van Kampen exprimant le groupoïde de Poincaré d'un espace topologique comme un coégalisateur de diagrammes de groupoïdes. Dans de nombreuses events géométriques, on en déduit une présentation explicite du groupe de Poincaré.

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