Stable and Unstable Operations in mod p Cohomology Theories

Details Stable and Unstable Operations in mod p Cohomology Theories Stable and Unstable Operations in mod p Cohomology Theories

2006-05-17

arxiv.org/abs/math/0605471v2

Mathematics

Algebraic Topology

28 pages; corrected proof of proposition 3.2, other minor improvements

Scientific paper

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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