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 > On 1/24/2020 5:38 PM, Alan Grayson wrote: > > Both are connected. Both have no boundary. Both are closed, since both > contain their accumulation points. Both have uncountable elements. So how > can they be distinguished within the context of point-set topology? TIA, AG > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected] <javascript:>. > To view this discussion on the web visit > https://groups.google.com/d/msgid/everything-list/05d34e67-7387-48d3-beee-f703c98bace4%40googlegroups.com > > <https://groups.google.com/d/msgid/everything-list/05d34e67-7387-48d3-beee-f703c98bace4%40googlegroups.com?utm_medium=email&utm_source=footer> > . > > > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/ede6f0b5-2b05-4b07-887a-ece6d4f4bd60%40googlegroups.com.
