The Equivariant Generating Hypothesis

Details The Equivariant Generating Hypothesis The Equivariant Generating Hypothesis

2009-06-15

arxiv.org/abs/0906.2740v2

Mathematics

Algebraic Topology

11 pages; fixed typos

Scientific paper

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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