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  • https://math.libretexts.org/Bookshelves/Geometry/Geometry_with_an_Introduction_to_Cosmic_Topology_(Hitchman)/07%3A_Geometry_on_Surfaces/7.07%3A_Quotient_Spaces
    A relation on a set S is a subset R of S x S. In other words, a relation R consists of a set of ordered pairs of the form (a,b)  where a and b are in S. A partition of a set consists of a collection...A relation on a set S is a subset R of S x S. In other words, a relation R consists of a set of ordered pairs of the form (a,b)  where a and b are in S. A partition of a set consists of a collection of non-empty subsets of A that are mutually disjoint and have union equal to A. An equivalence relation on a set A serves to partition A by the equivalence classes.

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