NONIMMERSIONS OF REAL PROJECTIVE SPACES IMPLIED BY eo2

Abstract

Recently Hopkins and Mahowald constructed a new 2-primary ring spectrum eo2, satisfying H (eo2) ≈ A//A2. We use eo2 to obtain new results regarding nonimmersions of real projective spaces in Euclidean space. The method is to say enough about the eo2-cohomology of a product of real projective spaces to obtain nonexistence of certain axial maps. 1. Main… (More)

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