The Whitehead conjecture, the tower of S-1 conjecture, and Hecke algebras of type A

摘要

In the early 1980s, the author proved G. W. Whitehead's conjecture about stable homotopy groups and symmetric products. In the mid 1990s, Arone and Mahowald showed that the Goodwillie tower of the identity had remarkably good properties when specialized to odd-dimensional spheres.