Radon-Nikod\'ym compact spaces of low weight and Banach spaces
Functional Analysis
2014-09-15 v1 General Topology
Abstract
We prove that a continuous image of a Radon-Nikod\'ym compact space of weight less than b is Radon-Nikod\'ym 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.
Keywords
Cite
@article{arxiv.1012.5512,
title = {Radon-Nikod\'ym compact spaces of low weight and Banach spaces},
author = {Antonio Avilés},
journal= {arXiv preprint arXiv:1012.5512},
year = {2014}
}