nLab Hassler Whitney

Hassler Whitney (1907-1989)

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Selected writings

Introducing the Whitney extension theorem:

• Hassler Whitney: Analytic extensions of differentiable functions defined in closed sets, Transactions of the American Mathematical Society 36 1 (1934) 63-89 [doi:10.2307/1989708, jstor:1989708, pdf]

• Hassler Whitney: Differentiable Functions Defined in Closed Sets. I, Transactions of the AMS 36 2 (1934) 369-387 [doi:10.2307/1989844, jstor:1989844]

Introducing the notion of matroids:

• Hassler Whitney, On the abstract properties of linear dependence, American Journal of Mathematics (The Johns Hopkins University Press) 57 3 (1935) 509-533 [jstor:2371182, MR1507091]

Introducing the term “cohomology”:

• Hassler Whitney, On matrices of integers and combinatorial topology. Duke Mathematical Journal 3 1 (1937), 35–45 [doi:10.1215/S0012-7094-37-00304-1]

Introducing what came to be called the Hopf-Whitney theorem:

• Hassler Whitney: The maps of an $n$-complex into an $n$-sphere, Duke Math. Journal 3 1 (1937) 51-55 [doi:10.1215/S0012-7094-37-00306-5]

See also:

• Hassler Whitney, On products in a complex, Annals of Math. 39 (1938) 397–432 [doi:10.2307/1968795]

Early discussion of sphere bundles and introducing the general notion of fiber bundles:

• Hassler Whitney, On the theory of sphere-bundles, Proceedings of the National Academy of Sciences 26 2 (1940) 148-153 [doi:10.1073/pnas.26.2.148]

Related entries

• Stiefel-Whitney class, integral Stiefel-Whitney class

• Whitney sum

• Whitney embedding theorem

• Whitney extension theorem

• Alexander-Whitney map

category: people