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arXiv · 0903.0160

Linearly-ordered Radon-Nidkodým compact spaces

Antonio Avilés
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Abstract

We prove that every fragmentable linearly ordered compact space is almost totally disconnected. This combined with a result of Arvanitakis yields that every linearly ordered quasi Radon-Nikodym compact space is Radon-Nikodym, providing a new partial answer to the problem of continuous images of Radon-Nikodym compacta.

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Antonio Avilés. 2009-03-01. Linearly-ordered Radon-Nidkodým compact spaces. https://arxiv.org/abs/0903.0160

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