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Sierpinski set

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Sierpinski set [sər′pin·skē ‚set]
(mathematics)
A set of pointsSon a line such that bothSand its complement contain at least one point in each uncountable set on the line that is a countable intersection of open sets.
A set of points in a plane that includes at least one point of each closed set of nonzero measure and does not include any subsets consisting of three collinear points.


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