The complex oriented cohomology of extended powers
type: Item
instance of: scholarly article
title: The complex oriented cohomology of extended powers
zbMATH Open document ID: 0899.55019
author: John Hunton
publication date: 1998-09-14T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75291
review text: Suppose that \(p\) is an odd prime, \(G^{*}(-)\) an unreduced, multiplicative, complex oriented cohomology theory and \(X\) a space. Then an important problem is to describe the behaviour of \(G^{*}(-)\) on the extended power space \[ D_{p}(X) = EC_{p} \times_{C_{p}} X^{p} \] in terms of the behaviour of \(G^{*}(-)\) on \(X\). In the case of \(G=HF_{p}\), the mod \(p\) Eilenberg-Maclane theory, this was done by Nakaoka. The author obtains results on the associated spectral sequences in the case of Morava \(K\)-theories and the Landweber exact theories.
reviewed by: Jonathan Hodgson
Mathematics Subject Classification ID: 55S25
Mathematics Subject Classification ID: 55T25
zbMATH DE Number: 1199194
zbMATH Keywords: extended power of a space
zbMATH Keywords: complex oriented cohomology
zbMATH Keywords: Morava K-theory
zbMATH Keywords: Landweber exact cohomology theories
zbMATH Keywords: complex cobordism
MaRDI profile type: Publication
OpenAlex ID: W2314435331
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DOI: 10.5802/AIF.1627
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 1199194