Smith–Volterra–Cantor set
In mathematics, the Smith–Volterra–Cantor set (SVC), ε-Cantor set, or fat Cantor set is an example of a set of points on the real line that is nowhere dense (in particular it contains no intervals), yet has positive measure. The Smith–Volterra–Cantor set is named after the mathematicians Henry Smith, Vito Volterra and Georg Cantor. In an 1875 paper, Smith discussed a nowhere-dense set of positive measure on the real line, and Volterra introduced a similar example in 1881. The Cantor set as we know it today followed in 1883. The Smith–Volterra–Cantor set is topologically equivalent to the middle-thirds Cantor set.
Smith–Volterra–Cantor set - Wikipedia Jump to content From Wikipedia, the free encyclopedia Set of real numbers in mathematics After black intervals have been removed, the white points which remain are a nowhere dense set of measure 1/2. In mathematics , the Smith–Volterra–Cantor set ( SVC ), ε-Cantor set , [ 1 ] or fat Cantor set is an example of a set of points on the real line that is nowhere dense (in particular it contains no intervals ), yet has positive measure . The Smith–Volterra–Cantor set is named after the mathematicians Henry Smith , Vito Volterra and Georg Cantor . In an 1875 pap
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