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Jan 20, 2010 at 18:17 comment added Tyler Lawson I must mention that judicious choice of elements p(t) of pi_n(Z) as an attaching map for a cell allow you to construct maps S^1 -> W which are isomorphisms on pi_1 and on all homology groups, but not homotopy equivalences.
Jan 20, 2010 at 16:19 history edited Allen Hatcher CC BY-SA 2.5
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Jan 20, 2010 at 16:11 history answered Allen Hatcher CC BY-SA 2.5