A characterisation of compact, fragmentable linear orders

2008/11/13 by R. J. Smith, Smith, R. J.
Mathematics · #06A05 #46B26 #46B50 #54D30 #FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN) #math.FA #math.GN #msc:06A05 #msc:46B26 #msc:46B50 #msc:54D30

paper · pdf · doi:10.48550/arxiv.0811.2090

arxiv created 2008/11/13 · arxiv updated 2009/12/01

Abstract

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-Nikodým compact. In addition, we obtain some corollaries in topology and renorming theory.

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