On weakly Radon-Nikod\'ym compact spaces
Functional Analysis
2015-09-18 v1 General Topology
Abstract
A compact space is said to be weakly Radon-Nikod\'ym if it is homeomorphic to a weak*-compact subset of the dual of a Banach space not containing an isomorphic copy of . In this work we provide an example of a continuous image of a Radon-Nikod\'ym compact space which is not weakly Radon-Nikod\'ym. Moreover, we define a superclass of the continuous images of weakly Radon-Nikod\'ym compact spaces and study its relation with Corson compacta and weakly Radon-Nikod\'ym compacta.
Cite
@article{arxiv.1509.05324,
title = {On weakly Radon-Nikod\'ym compact spaces},
author = {Gonzalo Martínez-Cervantes},
journal= {arXiv preprint arXiv:1509.05324},
year = {2015}
}