Equivariant principal bundles and their classifying spaces

Lück, Wolfgang¹ ; Uribe, Bernardo²

¹Mathematisches Institut, Rheinische Wilhelms-Universität Bonn, Endenicher Allee 62, 53115 Bonn, Germany
²Departamento de Matemáticas, Universidad del Norte, Km.5 Vía Puerto Colombia, Barranquilla, Colombia

Algebraic and Geometric Topology, Tome 14 (2014) no. 4, pp. 1925-1995

Résumé

We consider Γ–equivariant principal G–bundles over proper Γ–CW–complexes with a prescribed family of local representations. We construct and analyze their classifying spaces for locally compact, second countable topological groups Γ and G with finite covering dimensions, where G is almost connected.

Détail

DOI : 10.2140/agt.2014.14.1925

Classification : 55R91, 55P91
Keywords: equivariant principal bundle, families of local representations, classifying spaces

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