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Abstract: We define homological dimensions for S-algebras, the generalized rings thatarise in algebraic topology. We compute the homological dimensions of a numberof examples, and establish some basic properties. The most difficultcomputation is the global dimension of real K-theory KO and its connectiveversion ko at the prime 2. We show that the global dimension of KO is 1, 2, or3, and the global dimension of ko is 4 or 5.



Author: Mark Hovey, Keir Lockridge

Source: https://arxiv.org/







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