Hassler Whitney was an American mathematician, born on 23 March 1907 and died on 10 May 1989. He was one of the founders of singularity theory, the study of the points where smooth maps and shapes cease to be well behaved. He also did foundational work on manifolds, embeddings, immersions, characteristic classes and geometric integration theory. A manifold is a space that looks like ordinary Euclidean space near each of its points, and an embedding or immersion places such a space inside a larger one, which is the setting of his foundational results.
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Source Hassler Whitney (Wikipedia)
Principal Result
Source Whitney embedding theorem (Wikipedia)
Source Whitney Extension Theorem (Wikipedia)
Source Whitney immersion theorem (Wikipedia)
Proofs Credited
Source Whitney embedding theorem (Wikipedia)
Source Whitney Extension Theorem (Wikipedia)
Source Whitney immersion theorem (Wikipedia)
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Source Hassler Whitney (Wikipedia)Lead paragraph [nationality-culture]Quote, Lead paragraph [nationality-culture]
was an American mathematician
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1. Hassler Whitney (Wikipedia)
Lead paragraph
He was one of the founders of singularity theory, and did found
Lead paragraph [nationality-culture]
was an American mathematician
In Branch: Differential Topology, Lead paragraph [in-branch]
manifolds, embeddings, immersions
View the Source2. Wolf Foundation: Wolf Prize in Mathematics laureates
Whitney embedding theorem (Wikipedia)
Wikimedia FoundationPrincipal Result: Whitney Embedding Theorem, Lead sentence of the article on the result
In mathematics, particularly in differential topology, there are two Whitney embedding theorems, named after Hassler Whitney: The strong Whitney embedding theorem states that any smooth real m-dimensional manifold (required also to be Hausdorff and second-countable) can be smoothly embedded in the real 2m-space, R 2 m , {\displaystyle \mathbb {R} ^{2m},} if m > 0.
Proofs Credited: Whitney Embedding Theorem, Lead paragraph
In mathematics, particularly in differential topology, there are two Whitney embedding theorems, named after Hassler Whitney:
View the Source Whitney immersion theorem (Wikipedia)
Principal Result: Whitney Immersion Theorem, Lead sentence of the article on the result
In differential topology, the Whitney immersion theorem (named after Hassler Whitney) states that for m > 1 {\displaystyle m>1} , any smooth m {\displaystyle m} -dimensional manifold (required also to be Hausdorff and second-countable) has a one-to-one immersion in Euclidean 2 m {\displaystyle 2m} -space, and a (not necessarily one-to-one) immersion in ( 2 m − 1 ) {\displaystyle (2m-1)} -space.
Proofs Credited: Whitney Immersion Theorem, Lead paragraph
In differential topology, the Whitney immersion theorem (named after Hassler Whitney) states that for
View the SourceWhitney Extension Theorem (Wikipedia)
Principal Result: Whitney Extension Theorem, Lead sentence of the article on the result
It is a result of Hassler Whitney.
Proofs Credited: Whitney Extension Theorem, Lead paragraph
In mathematics, in particular in mathematical analysis, the Whitney extension theorem is a partial converse to Taylor's theorem. Roughly speaking, the theorem asserts that if A is a closed
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