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Hardcover Manifolds and Local Structures: A General Theory Book

ISBN: 9811233993

ISBN13: 9789811233999

Manifolds and Local Structures: A General Theory

Local structures, like differentiable manifolds, fibre bundles, vector bundles and foliations, can be obtained by gluing together a family of suitable 'elementary spaces', by means of partial homeomorphisms that fix the gluing conditions and form a sort of 'intrinsic atlas', instead of the more usual system of charts living in an external framework.An 'intrinsic manifold' is defined here as such an atlas, in a suitable category of elementary spaces:...

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Format: Hardcover

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Math Mathematics Science & Math

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