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Separating set

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In mathematics a set of functions S from a set D to a set C is called a separating set for D or said to separate the points of D if for any two distinct elements x and y of D, there exists a function f in S so that f(x)≠ f(y).

Examples

  • The singleton set consisting of the function f:R → R separates the points of R.

See also

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