Differential Topology pp 7-33 | Cite as

# Manifolds and Maps

Chapter

## Abstract

Differential topology is the study of differentiable manifolds and maps. A manifold is a topological space which locally looks like Cartesian *n*-space ℝ^{ n }; it is built up of pieces of ℝ^{n} glued together by homeomorphisms. If these homeomorphisms are differentiable we obtain a differentiable manifold.

## Keywords

Open Subset Tangent Vector Tangent Bundle Local Representation Coordinate Change
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## References

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## Copyright information

© Springer-Verlag New York Inc. 1976