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Miklós Schweitzer 2003, Problem 1

Source: Miklós Schweitzer 2003

July 30, 2016
college contestsMiklos Schweitzercombinatoricsset theory

Problem Statement

Let (X,<)(X, <) be an arbitrary ordered set. Show that the elements of XX can be coloured by two colours in such a way that between any two points of the same colour there is a point of the opposite colour.
(translated by L. Erdős)
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