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arXiv · 1509.05324

On weakly Radon-Nikodým compact spaces

Gonzalo Martínez-Cervantes
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Abstract

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 $\ell_1$. 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.

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Gonzalo Martínez-Cervantes. 2015-09-17. On weakly Radon-Nikodým compact spaces. https://arxiv.org/abs/1509.05324

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