KO-equivalences and existence of nonsingular bilinear maps

Kee Yuen Lam

Vol. 82 (1979), No. 1, 145–154

DOI: 10.2140/pjm.1979.82.145

Abstract

We show how to use homotopy theoretic methods to construct maps between various truncated projective spaces that induce isomorphisms in KO cohomology theory. We then use these maps to establish the existence of new families of nonsingular bilinear maps.

Mathematical Subject Classification 2000

Primary: 55P99

Secondary: 55R10

Milestones

Received: 27 November 1977

Published: 1 May 1979