# Differential topology

branch of mathematics

In mathematics, **differential topology** is the field dealing with differentiable functions on differentiable manifolds. It is closely related to differential geometry and together they make up the geometric theory of differentiable manifolds.

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## QuotesEdit

- Milnor's arguments were breathtaking. He brought together topology and analysis in a wholly unexpected way, and in doing so initiated the field of differential topology.
- Donal O'Shea (30 October 2008).
*The Poincaré Conjecture: In Search of the Shape of the Universe*. Penguin Books Limited. p. 280. ISBN 978-0-14-190034-6.

- Donal O'Shea (30 October 2008).