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

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

Author
Norman Steenrod
Publisher
Princeton University Press
Language
English
Year
2016
Page
224
ISBN
9781400883875
File Type
pdf
File Size
9.6 MiB

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.

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