John Henry Constantine Whitehead (11 November 1904–8 May 1960), was one of the founders of modern algebraic topology. Also one of the founders of the influential journal Topology.
Not to be confused with George Whitehead, who also worked in algebraic topology.
His contributions to mathematics include the following:
CW complexes; these were introduced in his papers on
combinatorial homotopy, which in turn were one prime source of inspiration for Brown, Higgins and Sivera’s, Nonabelian Algebraic Topology and also for Baues’ extensive work on, for instance, Combinatorial Homotopy and 4-Dimensional Complexes;
the Whitehead group? which is a precursor of constructions in algebraic K-theory;
with Saunders Mac Lane, first characterisation of homotopy 2-types.
founder of the algebraic homotopy programme;
he introduced crossed modules
On the triangulation theorem for smooth manifolds:
On the Hopf invariant:
Introducing crossed modules (and crossed homomorphisms) as models for homotopy types:
J. H. C. Whitehead, Combinatorial homotopy I , Bull. Amer. Math. Soc, 55, (1949), 213–245.
J. H. C. Whitehead, Combinatorial Homotopy II, Bull. Amer. Math. Soc., 55, (1949), 453 – 496 (euclid:1183513797)
On homotopy theory:
Last revised on September 1, 2021 at 08:58:30. See the history of this page for a list of all contributions to it.