The generating hypothesis (GH), originally stated by Freyd for the stable category of spectra, is the conjecture that if a map of finite spectra induces the zero map of homotopy groups, then it must be trivial. In this talk, we will consider formulations of GH in other stable homotopy categories. In particular, we will characterize the commutative rings R for which GH is true in the derived category of R-modules.
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John H. Palmieri, Department of Mathematics, University of Washington, palmieri@math.washington.edu