Differential Topology (original) (raw)

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Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology

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• Topology
• General Topology
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• Budney

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.

See also

Differential Geometry Explore this topic in the MathWorld classroom

Explore with Wolfram|Alpha

More things to try:

• dimension
• topology
• 365 to Mayan

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 Topology

Cite this as:

Weisstein, Eric W. "Differential Topology." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DifferentialTopology.html

Subject classifications

• Topology
• General Topology
• MathWorld Contributors
• Budney