Classification of the stable homotopy types of stunted lens spaces for an odd prime

Jesus Gonzalez

Vol. 176 (1996), No. 2, 325–343

DOI: 10.2140/pjm.1996.176.325

Abstract

For an odd prime p we obtain the complete classification of the stable homotopy types of stunted lens spaces modulo p by adapting the ideas introduced by Feder, Gitler and Mahowald in the study of the 2 primary problem. Advantage is taken of the stable, p-local decomposition of stunted lens spaces. We check that the classification is realized by J-homology and cohomology groups as in the case of real projective spaces.

Mathematical Subject Classification 2000

Primary: 55P15

Milestones

Received: 29 June 1994

Revised: 29 November 1994

Published: 1 December 1996