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Thread: homotopy equivalence

  1. December 6th 2011, 08:28 AM #1
    alsn
    alsn is offline
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    homotopy equivalence

    Could someone explain, like just a geometric description, how the space $\mathbb{R}^3\backslash A$, where $A$ is the unit circle in the $xy$-plane, is homotopy equivalent to $S^2\vee S^1$, the one point union of a 2-sphere and a circle. I can't see it.
    Last edited by alsn; December 6th 2011 at 02:47 PM. Reason: just realised i meant R^3 not R.
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