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The algebra of secondary homotopy operations in ring spectra

The primary algebraic model of a ring spectrum is the ring of homotopy groups. We introduce the secondary model which has the structure of a secondary analogue of a ring. This new algebraic model determines Massey products and cup-one squares. As an application we obtain new derivations of the homotopy ring.

preprint2007arXivOpen access
Hans-Joachim BauesFernando Muro
math.AT
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Hans-Joachim BauesFernando Muro

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