Unstable splittings for real spectra
type: Item
instance of: scholarly article
title: Unstable splittings for real spectra
zbMATH Open document ID: 1270.55003
author: Nitu Kitchloo
author: W. Stephen Wilson
published in: Algebraic \& Geometric Topology
publication date: 2013-05-03T00:00:00Z
review text: Concerning real-oriented cohomology theories see, \textit{S. Araki} [Jap. J. Math., New Ser. 5, 403--430 (1979; Zbl 0443.55003)]. The second author constructed unstable splittings for the \(\Omega\)-spectra \(BP, BP\langle n\rangle\) and \(E(n)\), in [Am. J. Math. 97, 101--123 (1975; Zbl 0303.55003)]. Boardman and second author constructed real-oriented analogs of the above mentioned splittings, \textit{J. Boardman} and \textit{W. Wilson} in [Cohomological methods in homotopy theory. Proceedings of the Barcelona conference on algebraic topology (BCAT), Bellaterra, Spain, June 4-10, 1998. Basel: Birkhäuser. Prog. Math. 196, 35--45 (2001; Zbl 0988.55006)]. Here the authors show how the above mentioned Wilson splittings can be obtained from the above mentioned real-oriented Boardman-Wilson splittings.
Mathematics Subject Classification ID: 55N20
Mathematics Subject Classification ID: 55N22
Mathematics Subject Classification ID: 55N91
zbMATH DE Number: 6160247
zbMATH Keywords: unstable splitting
zbMATH Keywords: real-oriented spectra
reviewed by: Yuli Rudyak
MaRDI profile type: Publication
full work available at URL: agt.2013.13.1053
OpenAlex ID: W2020630888
cites work: Q4896551
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DOI: 10.2140/AGT.2013.13.1053
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description: scientific article; zbMATH DE number 6160247