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A FIVE ELEMENT BASIS FOR THE UNCOUNTABLE LINEAR ORDERS
FIVE ELEMENT BASIS UNCOUNTABLE LINEAR ORDERS
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2015/8/17
In this paper I will show that it is relatively consistent with the usual axioms of mathematics (ZFC) together with a strong form of the axiom of infinity (the existence of a supercompact cardinal) th...
A direct proof of the five element basis theorem
Aronszajn trees Countryman type forcing axioms
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2011/1/17
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 [9] and simplifies the original proof ...