KnowraCantor setLinked fromLinked fromThe 15 pages that link to Cantor set, each with the reason it gives.All 15Broader topic 9Related 3Compared with 3CardinalityBroader topic: It has as many points as the real numbers despite containing no interval.FractalBroader topic: Its construction illustrates self-similarity and fractional dimension.Closed setBroader topic: It is a closed set with empty interior and uncountably many points.Hausdorff dimensionBroader topic: Its Hausdorff dimension is log 2 divided by log 3, despite containing no intervals.Boundary (topology)Broader topic: It is closed with empty interior, so every point in it lies on its boundary.Uncountable setBroader topic: It is an uncountable set with zero length, showing cardinality differs from measure.Cardinality of the continuumBroader topic: Despite containing no interval, this canonical set has the same cardinality as the continuum.Fractional dimensionBroader topic: Its Hausdorff dimension is log 2 divided by log 3, despite containing no intervals.Cantor's intersection theoremBroader topic: The surviving stage sets are nested, compact, and have a nonempty intersection.