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Topologie Algébrique: Chapitres 1 À 4
Paperback
ISBN13: 9783662493601
Publisher: Springer Nature
Published: Apr 7 2016
Pages: 498
Weight: 1.58
Height: 1.04 Width: 6.14 Depth: 9.21
Language: French
Ce livre des Éléments de mathématique est consacré à la Topologie algébrique. Les quatre premiers chapitres présentent la théorie des revêtements d'un espace topologique et du groupe de Poincaré. On construit le revêtement universel d'un espace connexe pointé délaçable et on établit l'équivalence de catégories entre revêtements de cet espace et actions du groupe de Poincaré.
On démontre une version 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 situations géométriques, on en déduit une présentation explicite du groupe de Poincaré.
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