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2008 Stable and unstable operations in mod $p$ cohomology theories
Andrew Stacey, Sarah Whitehouse
Algebr. Geom. Topol. 8(2): 1059-1091 (2008). DOI: 10.2140/agt.2008.8.1059

Abstract

We consider operations between two multiplicative, complex orientable cohomology theories. Under suitable hypotheses, we construct a map from unstable to stable operations, left-inverse to the usual map from stable to unstable operations. In the main example, where the target theory is one of the Morava K–theories, this provides a simple and explicit description of a splitting arising from the Bousfield–Kuhn functor.

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Andrew Stacey. Sarah Whitehouse. "Stable and unstable operations in mod $p$ cohomology theories." Algebr. Geom. Topol. 8 (2) 1059 - 1091, 2008. https://doi.org/10.2140/agt.2008.8.1059

Information

Received: 17 October 2006; Revised: 16 May 2008; Accepted: 19 May 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1153.55016
MathSciNet: MR2443108
Digital Object Identifier: 10.2140/agt.2008.8.1059

Subjects:
Primary: 55S25
Secondary: 55P47

Rights: Copyright © 2008 Mathematical Sciences Publishers

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