A continuous image of a Radon-Nikod\'ym compact which is not Radon-Nikod\'{y}m
Antonio Avil\'es, Piotr Koszmider
TL;DR
This paper constructs a continuous image of a Radon-Nikodým compact space that is not Radon-Nikodým, addressing a long-standing open problem in topology posed in the 1980s.
Contribution
It provides the first explicit example of such a space, solving a problem posed by Isaac Namioka in the 1980s.
Findings
Constructed a continuous image of a Radon-Nikodým compact space that is not Radon-Nikodým.
Solved a problem posed in the 1980s by Isaac Namioka.
Advances understanding of the structure of Radon-Nikodým compact spaces.
Abstract
We construct a continuous image of a Radon-Nikod\'ym compact space which is not Radon-Nikod\'ym compact, solving the problem posed in the 80ties by Isaac Namioka.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Advanced Banach Space Theory · Advanced Topology and Set Theory