On 1/24/2020 8:34 PM, Alan Grayson wrote:


On Friday, January 24, 2020 at 8:47:26 PM UTC-7, Brent wrote:



    On 1/24/2020 7:01 PM, Alan Grayson wrote:


    On Friday, January 24, 2020 at 6:58:29 PM UTC-7, Brent wrote:

        A closed curve on a sphere with a point not on the curve can
        be contracted to a point without crossing the point not the
        curve no matter where that point is.

        Brent


    Doesn't seem right. If we have a circle on the sphere, and a
    point at its center, your claim will fail. AG

    No it won't.  Just "expand" the circle till it contracts to the
    anti-podal point.

    Brent


OK. Is there a formal name for this property? AG

Spherical topology.

Brent

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