English

The Equivariant Generating Hypothesis

Algebraic Topology 2014-10-01 v2

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.

Keywords

Cite

@article{arxiv.0906.2740,
  title  = {The Equivariant Generating Hypothesis},
  author = {Anna Marie Bohmann},
  journal= {arXiv preprint arXiv:0906.2740},
  year   = {2014}
}

Comments

11 pages; fixed typos

R2 v1 2026-06-21T13:13:38.810Z