Global Variational Analysis: Weierstrass Integrals on a Riemannian Manifold: 16 (Mathematical Notes, 16) - Softcover

Morse, Marston

Softcover

ISBN 10: 0691617252 ISBN 13: 9780691617251

Publisher: Princeton University Press, 2015

Synopsis

This book builds upon the revolutionary discovery made in 1974 that when one passes from function f to a function J of paths joining two points A1≠A1 the connectivities R1 of the domain of f can be replaced by connectivities R1 over Q, common to the pathwise components of a basic Frechet space of classes of equivalent curves joining A1 to A1. The connectivities R1, termed "Frechet numbers," are proved independent of the choice of A1 ≠ A1, and of a replacement of Mn by any differential manifold homeomorphic to Mn.

Originally published in 1976.

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Edition details

• Publisher: Princeton University Press
• Publication date: 2015
• Language: English
• ISBN 10: 0691617252
• ISBN 13: 9780691617251
• Binding: Paperback
• Number of pages: 270