This is an announcement for the paper "Radon-Nikodym compact spaces of low weight and Banach spaces" by Antonio Aviles.
Abstract: We prove that a continuous image of a Radon-Nikod'{y}m compact space of weight less than b is Radon-Nikod'{y}m compact. As a Banach space counterpart, subspaces of Asplund generated Banach spaces of density character less than b are Asplund generated. In this case, in addition, there exists a subspace of an Asplund generated space which is not Asplund generated which has density character exactly b.
Archive classification: math.FA math.GN
Mathematics Subject Classification: Primary 46B26, Secondary 46B22, 46B50, 54G99
Citation: Studia Math. 166 (2005), no. 1, 71–82
Submitted from: avileslo@um.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1012.5512
or