Nikiel's conjecture
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In mathematics, Nikiel's conjecture in general topology was a conjectural characterization of the continuous image of a compact total order. The conjecture was first formulated by Jacek Nikiel in 1986.[1] The conjecture was proven by Mary Ellen Rudin in 1999.[2]
The conjecture states that a compact topological space is the continuous image of a total order if and only if it is a monotonically normal space.
