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arxiv: 0811.2090 · v1 · submitted 2008-11-13 · 🧮 math.FA · math.GN

A characterisation of compact, fragmentable linear orders

classification 🧮 math.FA math.GN
keywords compactfragmentablecharacterisationlinearlyadditioncorollariesgivelinear
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We give a characterisation of fragmentable, compact linearly order spaces. In particular, we show that if $K$ is a compact, fragmentable, linearly ordered space then $K$ is a Radon-Nikod\'{y}m compact. In addition, we obtain some corollaries in topology and renorming theory.

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