|
Título:
|
Smooth surjections and surjective restrictions
|
|
Autores:
|
Aron, Richard M. ;
Jaramillo Aguado, Jesús Ángel ;
Le Donne, E.
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
Suomalainen tiedeakatemia, 2017
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/restrictedAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores
,
Materia = Ciencias: Matemáticas: Topología
,
Tipo = Artículo
|
|
Resumen:
|
Given a surjective mapping f : E -> F between Banach spaces, we investigate the existence of a subspace G of E, with the same density character as F, such that the restriction of f to G remains surjective. We obtain a positive answer whenever f is continuous and uniformly open. In the smooth case, we deduce a positive answer when f is a C-1-smooth surjection whose set of critical values is countable. Finally we show that, when f takes values in the Euclidean space R-n, in order to obtain this result it is not sufficient to assume that the set of critical values of f has zero-measure.
|
|
En línea:
|
https://eprints.ucm.es/45119/1/Jaramillo111libre.pdf
|
