A characterisation of compact, fragmentable linear orders

Details A characterisation of compact, fragmentable linear orders A characterisation of compact, fragmentable linear orders

2008-11-13

arxiv.org/abs/0811.2090v1

Mathematics

Functional Analysis

Scientific paper

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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