arXiv:0811.2090 Abstract | arXiv Analytics

arXiv:0811.2090 [math.FA]Abstract References Reviews Resources

A characterisation of compact, fragmentable linear orders

Published 2008-11-13Version 1

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.

Categories: math.FA, math.GN

Subjects: 06A05, 54D30, 46B50, 46B26

Keywords: fragmentable linear orders, characterisation, compact linearly order spaces, linearly ordered space, corollaries

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