Fredholm mappings and Banach manifolds

Two C1-mappings, whose domain is a connected compact C1-Banach manifold modelled over a Banach space X over K = R or C and whose range is a Banach space Y over K, are introduced. Sufficient conditions are given to assert they share only a value. The proof of the result, which is based upon continuat...

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Detalles Bibliográficos
Autor: Soriano Arbizu, José María
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2009
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/58803
Acceso en línea:http://hdl.handle.net/11441/58803
https://doi.org/10.4134/JKMS.2009.46.3.463
Access Level:acceso abierto
Palabra clave:Regular value
Continuation methods
Atlas
Chart
Banach manifold
Compactness
Descripción
Sumario:Two C1-mappings, whose domain is a connected compact C1-Banach manifold modelled over a Banach space X over K = R or C and whose range is a Banach space Y over K, are introduced. Sufficient conditions are given to assert they share only a value. The proof of the result, which is based upon continuation methods, is constructive.