Cohomology operations from higher products in the deRham complex
type: Item
instance of: scholarly article
title: Cohomology operations from higher products in the deRham complex
zbMATH Open document ID: 0689.55019
author: Bohumil Cenkl
published in: Pacific Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The construction of cohomology operations presented in this paper constitute part of the program to study the role of commutative algebras in homotopy theory. More precisely, the main result states that there exists a family of cochain operations on the de Rham complex of \textit{H.Cartan} [Invent. Math. 35, 261-271 (1976; Zbl 0334.55005)] and \textit{E. Y. Miller} [Topology 17, 193-203 (1978; Zbl 0386.55011)] inducing the Steenrod cyclic reduced powers and the Pontrjagin-Thomas p-th powers for each prime p.
reviewed by: Jean-Claude Thomas
Mathematics Subject Classification ID: 55S10
Mathematics Subject Classification ID: 55N35
zbMATH DE Number: 4129637
zbMATH Keywords: cup-i products
zbMATH Keywords: Steenrod cyclic reduced powers
zbMATH Keywords: Pontrjagin-Thomas p-th powers
MaRDI profile type: Publication
full work available at URL: pjm.1989.140.21
OpenAlex ID: W2044306027
DOI: 10.2140/PJM.1989.140.21
description: scientific article; zbMATH DE number 4129637