The ghost and weak dimensions of rings and ring spectra

作者：Hovey Mark^*; Lockridge Keir

来源：Israel Journal of Mathematics, 2011, 182(1): 31-46.

DOI：10.1007/s11856-011-0022-8

The primary object of this paper is to prove the conjecture of [HL09a] 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.

• 出版日期2011-3