Manifolds and Local Structures: A General Theory

by Marco Grandis

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:...

• Format: Hardcover
• Language: English
• ISBN: 9811233993
• ISBN13: 9789811233999
• Release Date: March 2021
• Publisher: World Scientific Publishing Company
• Length: 376 Pages
• Weight: 1.47 lbs.
• Dimensions: 0.9" x 6.0" x 9.0"