Approximation Theorems and Whitney’s Embedding
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.
KeywordsOpen Covering Measure Zero Approximation Theorem Positive Continuous Function Compact Closure
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