Abstract of a paper by Gonzalo Martinez-Cervantes
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
participants (1)
-
alspach@math.okstate.edu