Springer Verlag, Israel Journal of Mathematics, 1(182), p. 31-46
DOI: 10.1007/s11856-011-0022-8
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The primary object of this paper is to prove the conjecture of the authors from a previous paper, explaining how to recover the weak dimension of a ring from its derived category. In the process, we develop a theory of weak dimension, which we call ghost dimension, for the generalized rings, known as ring spectra, that arise in algebraic topology.