Geodesic
Radon–Nikodým compact spaces of low weight and Banach spaces
Antonio Avilés 1
1 Departamento de Matemáticas Universidad de Murcia 30100 Espinardo (Murcia), Spain
Studia Mathematica, Tome 166 (2005) no. 1, pp. 71-82 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that a continuous image of a Radon–Nikodým compact of weight less than ${\bf b}$ is Radon–Nikodým compact. As a Banach space counterpart, subspaces of Asplund generated Banach spaces of density character less than ${\bf b}$ are Asplund generated. In this case, in addition, there exists a subspace of an Asplund generated space which is not Asplund generated and which has density character exactly ${\bf b}$.
DOI : 10.4064/sm166-1-5
Keywords: prove continuous image radon nikod compact weight radon nikod compact banach space counterpart subspaces asplund generated banach spaces density character asplund generated addition there exists subspace asplund generated space which asplund generated which has density character exactly

Antonio Avilés  1

1 Departamento de Matemáticas Universidad de Murcia 30100 Espinardo (Murcia), Spain 
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Antonio Avilés. Radon–Nikodým compact spaces of low weight
 and Banach spaces. Studia Mathematica, Tome 166 (2005) no. 1, pp. 71-82. doi: 10.4064/sm166-1-5

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