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## Preview

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## References

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## Copyright information

© Springer-Verlag New York Inc. 1976