When every series that gets infinitly large diverges then how can they converge on the point inf on the Riemann sphere? How can inf be a point in a set anyway, I thought its just a property.

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Anonymous Wed Nov 5 12:54:46 2014 No.6856250 [Reply] [Original]

When every series that gets infinitly large diverges then how can they converge on the point inf on the Riemann sphere?

How can inf be a point in a set anyway, I thought its just a property.

>>	Anonymous Wed Nov 5 13:02:49 2014 No.6856262 >>6856250 Just look at the stereographic projection map: (2Re(z)/(1+\|z\|^2), 2Im(z)/(1+\|z\|^2), (\|z\|^2 -1)/(\|z\|^2 +1)), and take the limit of the chordal distance function as \|z\| tends to infinity.

>>	Anonymous Wed Nov 5 13:05:55 2014 No.6856269 >>6856262 Your lack of LaTeX disturbs me.

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