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.
Differential Topology
See also
Differential Geometry Explore this topic in the MathWorld classroomExplore with Wolfram|Alpha
References
Dieudonné, J. A History of Algebraic and Differential Topology: 1900-1960. Boston, MA: Birkhäuser, 1989.Munkres, J. R. Elementary Differential Topology. Princeton, NJ: Princeton University Press, 1963.Referenced on Wolfram|Alpha
Differential TopologyCite this as:
Weisstein, Eric W. "Differential Topology." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DifferentialTopology.html