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Gave a systematic treatment of differentiable manifolds and proved embedding and regular-map results placing smooth manifolds in finite-dimensional Euclidean spaces under the paper's hypotheses.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is Whitney's sole-author 1936 Annals of Mathematics paper and its stated dimensional bounds. It does not absorb later sharpened embeddings and immersions, Whitney extension theory or every modern manifold convention.
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People and systems
Hassler Whitney
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Documented countries / regions: United States
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English catalogue narrative
Whitney: differentiable manifolds and Euclidean embedding
Gave a systematic treatment of differentiable manifolds and proved embedding and regular-map results placing smooth manifolds in finite-dimensional Euclidean spaces under the paper's hypotheses.
Scientific scope
The record is Whitney's sole-author 1936 Annals of Mathematics paper and its stated dimensional bounds. It does not absorb later sharpened embeddings and immersions, Whitney extension theory or every modern manifold convention.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Hassler Whitney
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.