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Timeline for Killing the torsion in homotopy

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Jan 28, 2010 at 10:38 comment added Don Stanley Tyler I also made a comment on your comment on noncommutative rational homotopy type. I believe that's an open question that has been asked before (as I recall Steve Halperin asked me that questions).
Jan 28, 2010 at 10:30 comment added Don Stanley Sorry I was only thinking about the spectrum case. I thought it eliminated the possibility of non-trivial extensions, but looking more closely I can't see why it should. Thanks for pointing that out.
Jan 27, 2010 at 13:39 comment added Tyler Lawson Can you elaborate? That theorem says that if 2 is inverted, the functor sending a spectrum to its homotopy groups factors through a triangulated functor to the derived category of chain complexes over Z[1/2]. You can certainly carry out this factorization in the derived category, but do not see how one would lift this factorization to the spectrum level based on Neeman's Thm 4.4. (This is completely aside from the spectrum vs. space level issue.)
Jan 27, 2010 at 10:40 history answered Don Stanley CC BY-SA 2.5