The Topology of Fibre Bundles

Download or read book The Topology of Fibre Bundles written by Norman Steenrod and published by Princeton University Press. This book was released on 1999-04-25 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics--such as in gauge theory. This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was the first to present the subject systematically. It begins with a general introduction to bundles, including such topics as differentiable manifolds and covering spaces. The author then provides brief surveys of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles. The result is a classic and timeless work of great utility that will appeal to serious mathematicians and theoretical physicists alike.