Associated Bundle
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the theory of fiber bundles with a structure group G (a topological group) allows an operation of creating an associated bundle, in which the typical fiber of a bundle changes from F1 to F2, which are both topological spaces with a group action of G. For a fibre bundle F with structure group G, the transition functions of the fibre (i.e., the cocycle) in an overlap of two coordinate systems U and U are given as a G-valued function g on U U . One may th...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the theory of fiber bundles with a structure group G (a topological group) allows an operation of creating an associated bundle, in which the typical fiber of a bundle changes from F1 to F2, which are both topological spaces with a group action of G. For a fibre bundle F with structure group G, the transition functions of the fibre (i.e., the cocycle) in an overlap of two coordinate systems U and U are given as a G-valued function g on U U . One may then construct a fibre bundle F as a new fibre bundle having the same transition functions, but possibly a different fibre.
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