Nonlinear Fredholm maps of index zero and their singularities
Author:
R. A. Plastock
Journal:
Proc. Amer. Math. Soc. 68 (1978), 317-322
MSC:
Primary 58B15; Secondary 47H15
DOI:
https://doi.org/10.1090/S0002-9939-1978-0464283-2
MathSciNet review:
0464283
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Abstract | References | Similar Articles | Additional Information
Abstract: Let be a
Fredholm map of index zero between two Banach spaces. Defining the singular set
is not surjective}, we study the local and global effect of B on the map F. In particular it is shown that if
is isolated in B, then, for
and
, F is a local homeomorphism at b. We then show that if B consists of discrete points, F is a global homeomorphism of X onto Y. A nonlinear partial differential equation is included as an illustration.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1978-0464283-2
Keywords:
Fredholm map of index zero,
covering space map,
proper
Article copyright:
© Copyright 1978
American Mathematical Society