On weakly Radon-Nikod\'ym compact spaces

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 ${\mathrm{\ell }}_1$. 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.