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    Differential Topology

    Basic definition

    Differential topology is the mathematical study of smooth manifolds.

    Detailed definition

    The motivating force of topology, consisting of the study of smooth (differentiable) manifolds. Differential topology deals with nonmetrical notions of manifolds, while differential geometry deals with metrical notions of manifolds.

    Related term

    differential geometry

    Educational grade level

    graduate school level

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