The Topology of Fibre Bundles. (PMS-14), Volume 14

Fibre bundles are a part of differential geometry and also important to physics. This text introduces bundles, including such topics as differentiable manifolds. It provides brief surveys of advanced topics, such as homotopy theory, before using them to study further properties of the bundles.

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Fibre bundles, an integral part of differential geometry, are also important to physics. This text, a succint introduction to fibre bundles, includes such topics as differentiable manifolds and covering spaces. It provides brief surveys of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles.