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arxiv: 0903.0160 · v1 · submitted 2009-03-01 · 🧮 math.GN

Linearly-ordered Radon-Nidkod\'ym compact spaces

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keywords compactradon-nikodymeverylinearlyorderedspacealmostanswer
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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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