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Quotient Set

Definition: The quotient set of S with respect to R is the set of all classes induced on S by R:

S/R := {[x]R: x in S}.

By class properties, every set S is partitioned by an equivalence relation R into a set of non-empty and disjoint subsets (blocks).

Author: Wolfgang Schreiner
Last Modification: January 12, 2000

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