A direct proof of the five element basis theorem

Details A direct proof of the five element basis theorem A direct proof of the five element basis theorem

2010-12-02

arxiv.org/abs/1012.0596v1

Mathematics

Logic

Scientific paper

We present a direct proof of the consistency of the existence of a five
element basis for the uncountable linear orders. Our argument is based on the
approach of notion of saturation of Aronszajn trees considered by Koenig,
Larson, Moore and Velickovic and simplifies the original proof of Moore.

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