Global Variational Analysis / Mathematical Notes (PDF)
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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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- Autor: Marston Morse
- 2015, 270 Seiten, Englisch
- Verlag: Princeton University Press
- ISBN-10: 1400870437
- ISBN-13: 9781400870431
- Erscheinungsdatum: 08.03.2015
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- Grösse: 5.16 MB
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