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arXiv · 0906.2740

The Equivariant Generating Hypothesis

Anna Marie Bohmann
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Abstract

We state the generating hypothesis in the homotopy category of G-spectra for a compact Lie group G, and prove that if G is finite, then the generating hypothesis implies the strong generating hypothesis, just as in the non-equivariant case. We also give an explicit counterexample to the generating hypothesis in the category of rational S^1-equivariant spectra.

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Anna Marie Bohmann. 2009-07-29. The Equivariant Generating Hypothesis. https://doi.org/10.2140/agt.2010.10.1003

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