Polynomial operations on complex K-theory
type: Item
instance of: scholarly article
title: Polynomial operations on complex K-theory
zbMATH Open document ID: 0733.55007
DOI: 10.1007/BF00533213
author: Ernesto Vallejo
published in: \(K\)-Theory
publication date: 1991-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 55R50
zbMATH DE Number: 4213006
zbMATH Keywords: polynomial operations
zbMATH Keywords: stable cohomotopy
zbMATH Keywords: complex K-theory
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00533213
OpenAlex ID: W2058286023
description: scientific article; zbMATH DE number 4213006