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arxiv: math/0610523 · v3 · pith:2ETAG4LXnew · submitted 2006-10-17 · 🧮 math.AT

The algebra of secondary homotopy operations in ring spectra

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keywords ringhomotopymodelsecondaryalgebraicalgebraanalogueapplication
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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.

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