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Connections, Curvature, and Cohomology. Vol. III: Cohomology of principal bundles and homogeneous spaces (Pure and Applied Mathematics Series; v. 47-III)
Connections, Curvature, and Cohomology. Vol. III: Cohomology of principal bundles and homogeneous spaces (Pure and Applied Mathematics Series; v. 47-III)
Date: 05 June 2011, 01:29
This monograph developed out of the Abendseminar of 1958-1959 at the University of Zurich. It was originally a joint enterprise of the first author and H. H. Keller, who planned a brief treatise on connections in smooth fibre bundles. Then, in 1960, the first author took a position in the United States, and geographic considerations forced the cancellation of this arrangement.
The collaboration between the first and third authors began with the former's move to Toronto in 1962; they were joined by the second author in 1965. During this time the purpose and scope of the book grew to its present form: a three-volume study, ab initio, of the de Rham cohomology of smooth bundles. In particular, the material in volume I has been used at the University of Toronto as the syllabus for an introductory graduate course on differentiable manifolds.

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