This is an announcement for the paper "On weakly Radon-Nikod'ym compact spaces" by Gonzalo Martinez-Cervantes.

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 $\ell_1$. 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.

Archive classification: math.FA math.GN

Mathematics Subject Classification: 46B22, 46B50, 54G20

Submitted from: gonzalo.martinez2@um.es

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1509.05324

or

http://arXiv.org/abs/1509.05324