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May 17, 2011 at 10:14 comment added Fernando Muro @Dylan: it need not be bad, maybe they are also the weak equivalences of another model category structure, I don't know, do you have any particular interest in it? If so, it could be worth to develop.
May 16, 2011 at 22:42 comment added Dylan Wilson While this is a good answer it sounds somewhat circular in my head- what's so bad about using the weak equivalences that come from the $RO(G)$-graded version?
May 16, 2011 at 22:37 history answered Fernando Muro CC BY-SA 3.0