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Topology occupies a central position in the mathematics of today. The concept of the fibre bundle provides an appropriate framework for studying differential geometry. There is a large amount of literature on this subject already, so this book fulfils its aim of being a research…
The concept of gauge-natural bundles is introduced. They are a generalization of natural bundles and they provide a natural formal context for the discussion of gauge field theories. It is shown that such bundles correspond to actions of certain Lie groups on smooth manifolds an…
We analyze fibrations over paracompact Hausdorff bases with locally compact ANR fibers and show that a fibred analog of the first author's characterization of Hilbert cube manifolds detects the Hilbert cube manifold bundles if the fibers are compact or the base is semi-locally c…
In this memoir, Yang-Mills field curvature and current are described as elements of cohomology groups on ambitwistor space, and it is shown that the Yang-Mills current corresponds to the third-order obstruction to extending the corresponding vector bundle. There is also a descri…
We examine the general problem of computing characteristic invariants of principal bundles whose structural group [italic capital]G is a topological group. Under the hypothesis that [italic capital]G has real cohomology finitely generated as an [bold]R-module, we are able to giv…
