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Orbit Space

  • Definition: Let X be a space, and let G be a subgroup of the group of homeomorphisms of X with itself. The orbit space X/G is defined to be the quotient space obtained from X by means of the equivalence relation x ~ g(x) for all x in X and all g in G. The equivalence class of x is called the orbit of x.

    Source: Topology (second edition) by James R. Munkres

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