Gross-Hopkins duality

2000/11/16 by Neil P. Strickland
Mathematics · #math.AT #msc:55N20 #msc:55P42 #msc:20E18

paper · pdf

published as Topology 39 no 5 (2000) 1021-1033

arxiv created 2000/11/16 · arxiv updated 2009/11/30

Abstract

We give a new and simpler proof of a result of Hopkins and Gross relating Brown-Comenetz duality to Spanier-Whitehead duality in the K(n)-local stable homotopy category.

Related

• Gross-Hopkins duality and the Gorenstein condition
• Comparing Dualities in the K(n)-local Category
• Auslander-Reiten sequences, Brown-Comenetz duality, and the K(n)-local\n generating hypothesis
• Spanier-Whitehead K-duality for C^*-algebras
• On the algebraic classification of K-local spectra