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Approximation Theorems and Whitney’s Embedding

In: Differential Topology

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  • Amiya Mukherjee

    (Indian Statistical Institute, Statistics and Mathematics Unit)

Abstract

Perhaps the most important property of a manifold which opens up various developments of manifold theory is that a manifold can be embedded in a Euclidean space as a closed subspace. This is called Whitney’s embedding theorem. Thus any manifold may be considered as a submanifold of a Euclidean space.

Suggested Citation

  • Amiya Mukherjee, 2015. "Approximation Theorems and Whitney’s Embedding," Springer Books, in: Differential Topology, edition 2, chapter 0, pages 43-67, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-19045-7_2
    DOI: 10.1007/978-3-319-19045-7_2
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