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2013 Homological dimensions of ring spectra
Mark Hovey, Keir Lockridge
Homology Homotopy Appl. 15(2): 53-71 (2013).

Abstract

We define homological dimensions for $S$-algebras, the generalized rings that arise in algebraic topology. We compute the homological dimensions of a number of examples, and establish some basic properties. The most difficult computation is the global dimension of real $K$-theory $KO$ and its connective version $ko$ at the prime 2. We show that the global dimension of $KO$ is 2 or 3, and the global dimension of $ko$ is 4 or 5.

Citation

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Mark Hovey. Keir Lockridge. "Homological dimensions of ring spectra." Homology Homotopy Appl. 15 (2) 53 - 71, 2013.

Information

Published: 2013
First available in Project Euclid: 8 November 2013

zbMATH: 1296.55013
MathSciNet: MR3117386

Subjects:
Primary: 16E10, 18E30, 55P43

Rights: Copyright © 2013 International Press of Boston

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Vol.15 • No. 2 • 2013
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