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Mar 4, 2011 at 4:22 comment added Jake Fowler Thanks for the counterexample--obviously the situation is even more complicated than I thought.
Mar 3, 2011 at 12:52 history edited Dmitri Panov CC BY-SA 2.5
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Mar 3, 2011 at 12:47 comment added Dmitri Panov Scott, huge thanks, I was a bit sleepy while writing this :)
Mar 3, 2011 at 12:05 comment added S. Carnahan If I'm not mistaken, the long exact sequence of homotopy groups should decrease in degree (but I think this makes your proof even easier).
Mar 3, 2011 at 9:26 history answered Dmitri Panov CC BY-SA 2.5