Commutative algebra in stable homotopy theory and a completion theorem
type: Item
instance of: scholarly article
title: Commutative algebra in stable homotopy theory and a completion theorem
zbMATH Open document ID: 0851.55006
author: A. D. Elmendorf
author: John Greenlees
author: Igor Kriz
author: J. P. May
published in: Mathematical Research Letters
publication date: 1996-11-24T00:00:00Z
review text: This paper surveys recent work in constructing a category of spectra that has all limits and colimits and also has a strictly associative and commutative smash product. Applications include new constructions of basic spectra, new generalized universal coefficient and Künneth spectral sequences, and a new construction of topological Hochschild homology. The theory works equivariantly, where it allows the construction of equivariant versions of Brown-Peterson, Morava K-theory, and other module spectra over MU. Many theorems are stated, but there is no hint of proof or where the proofs might be found. Also, the paper seems to give no details about the construction of this category of spectra.
Mathematics Subject Classification ID: 55N20
Mathematics Subject Classification ID: 55P42
Mathematics Subject Classification ID: 55N22
Mathematics Subject Classification ID: 55N91
Mathematics Subject Classification ID: 55P91
Mathematics Subject Classification ID: 55T25
Mathematics Subject Classification ID: 13D45
Mathematics Subject Classification ID: 19L47
zbMATH DE Number: 817690
zbMATH Keywords: category
zbMATH Keywords: spectra
zbMATH Keywords: constructions
zbMATH Keywords: topological Hochschild homology
zbMATH Keywords: Brown-Peterson
zbMATH Keywords: Morava K-theory
zbMATH Keywords: module spectra
reviewed by: Donald M. Davis
MaRDI profile type: Publication
full work available at URL: mrl.1994.v1.n2.a10
OpenAlex ID: W2026454083
DOI: 10.4310/MRL.1994.V1.N2.A10
description: scientific article; zbMATH DE number 817690