2015/09/17 by Gonzalo Martínez-Cervantes, Martínez-Cervantes, Gonzalo
Mathematics · #46B22 #46B50 #54G20 #FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN) #math.FA #math.GN #msc:46B22 #msc:46B50 #msc:54G20
paper · pdf · doi:10.48550/arxiv.1509.05324
arxiv created 2015/09/17 · arxiv updated 2015/09/18
A compact space is said to be weakly Radon-Nikodým if it is homeomorphic to a weak*-compact subset of the dual of a Banach space not containing an isomorphic copy of ℓ1. In this work we provide an example of a continuous image of a Radon-Nikodým compact space which is not weakly Radon-Nikodým. Moreover, we define a superclass of the continuous images of weakly Radon-Nikodým compact spaces and study its relation with Corson compacta and weakly Radon-Nikodým compacta.