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arXiv · 0903.4659

The ghost and weak dimensions of rings and ring spectra

Mark Hovey·Keir Lockridge
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Abstract

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.

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Mark Hovey, Keir Lockridge. 2009-04-11. The ghost and weak dimensions of rings and ring spectra. https://arxiv.org/abs/0903.4659

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