Topologie algébrique

Topologie algébrique

FrenchPaperback / softbackPrint on demand
Bourbaki, N.
Springer, Berlin
EAN: 9783662493601
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Detailed information

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.

EAN 9783662493601
ISBN 3662493608
Binding Paperback / softback
Publisher Springer, Berlin
Publication date April 7, 2016
Pages 498
Language French
Dimensions 235 x 155
Country Germany
Authors Bourbaki, N.
Illustrations XV, 498 p.
Edition 1ère éd. 2016
Manufacturer information
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