Differential Topology
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Differential topology is the mathematical study of smooth manifolds.
Differential topology is a graduate-level concept that would be first encountered in a topology course.
Prerequisites
| Continuous Function: | A continuous function is function with no jumps, gaps, or undefined points. |
| Derivative: | A derivative is the infinitesimal rate of change in a function with respect to one of its parameters. |
| Topology: | (1) As a branch of mathematics, topology is the mathematical study of object's properties that are preserved through deformations, twistings, and stretchings. (2) As a set, a topology is a set along with a collection of subsets that satisfy several defining properties. |