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Fibre bundles play an important role in just about every aspect of modern geometry and topology. Basic properties, homotopy classification, and characteristic classes of fibre bundles have become an essential part of graduate mathematical education for students in geometry and mathematical physics. In this third edition two new chapters on the gauge group of a bundle and on the differential forms representing characteristic classes of complex vector bundles on manifolds have been added. These chapters result from the important role of the gauge group in mathematical physics and the continual usefulness of characteristic classes defined with connections on vector bundles.

Fiber bundles (Mathematics) --- Bundles, Fiber (Mathematics) --- Continuous groups --- Fiber spaces (Mathematics) --- Fiber bundles (Mathematics).

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Topological groups. Lie groups --- Characteristic classes --- Fiber bundles (Mathematics) --- Topological groups --- Groups, Topological --- Continuous groups --- Bundles, Fiber (Mathematics) --- Fiber spaces (Mathematics) --- Classes, Characteristic --- Differential topology --- Groupes topologiques --- Faisceaux fibrés (mathématiques) --- Classes caractéristiques --- Groupes topologiques. --- Classes caractéristiques.

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Algebraic topology --- Classifying spaces --- Fibre spaces (Mathematics) --- Bundles, Fiber (Mathematics) --- Spaces, Classifying --- Classifying spaces. --- Espaces fibrés (mathématiques) --- Faisceaux fibrés (mathématiques) --- Espaces classifiants. --- Fiber bundles (Mathematics) --- Fiber spaces (Mathematics) --- Continuous groups

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This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowledge in algebra, topology, and abstract measure theory). In the later chapters the reader is brought to the frontiers of present-day knowledge in the area of Mackey normal subgroup analysisand its generalization to the context of Banach *-Algebraic Bundles.

Representations of algebras. --- Banach algebras. --- Locally compact groups. --- Fiber bundles (Mathematics) --- Bundles, Fiber (Mathematics) --- Continuous groups --- Fiber spaces (Mathematics) --- Compact groups --- Topological groups --- Algebras, Banach --- Banach rings --- Metric rings --- Normed rings --- Banach spaces --- Topological algebras --- Algebra

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Mémoires de 1980 à 2008 sont consultables gratuitement sur le site de l'ARB

Ordered algebraic structures --- Fiber bundles (Mathematics) --- Bundles, Fiber (Mathematics) --- Fiber bundles (Mathematics). --- K-theory. --- Science --- sciences --- K-theory --- Continuous groups --- Fiber spaces (Mathematics) --- Algebraic topology --- Homology theory --- Closed periodicals --- Periodicals --- Geordende algebraïsche structuren --- K-théorie --- K-théorie --- Index, Théorie de l' (mathématiques) --- Science - Periodicals --- Theorie des groupes