Polynomial operations on complex K-theory
The aim of this paper is to adapt the results of the author about polynomial operations on 0th stable cohomotopy [see Manuscr. Math. 67, 345-365 (1990; Zbl 0708.55016)] to the case of the 0th complex K-theory \(K=K^ 0.\) The main theorems announced can be summarized as follows: We construct a family of (generating) operations for the ring P(K,h) of all polynomial operations \(\eta\) : \(K\to h\) (where h is a ring-valued contravariant functor defined on finite CW-complexes, satisfying some properties) and we describe the additive structure of this ring in terms of the h(BU(n))'s. The author investigates the case \(h=K\), where practically everything is known.
scientific article; zbMATH DE number 4213006