Approximation Theorems and Whitney’s Embedding

Amiya Mukherjee
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Amiya Mukherjee: Indian Statistical Institute, Statistics and Mathematics Unit

Chapter Chapter 2 in Differential Topology, 2015, pp 43-67 from Springer

Abstract: 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.

Keywords: Open Covering; Measure Zero; Approximation Theorem; Positive Continuous Function; Compact Closure (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-19045-7_2

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