The p-equivalence of SO(2n + 1) and Sp(n)

Albert Thomas Lundell

Vol. 110 (1984), No. 1, 161–166

DOI: 10.2140/pjm.1984.110.161

Abstract

Elementary homotopy methods are used to construct homotopy equivalences of the localized spaces SO(2n + 1)_𝒫 and Sp(n)_𝒫, where 𝒫 is the set of odd primes. The equivalences are H-maps.

Mathematical Subject Classification 2000

Primary: 55Q52

Secondary: 57T20

Milestones

Received: 8 October 1981

Revised: 10 May 1982

Published: 1 January 1984