- #1
Bachelier
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I came across this question. We're looking for the conctd components of this set of circles: centered at (0,1) and with radius 1-1/n
B ((0,1), 1-1/n) for n = 3, ...to infinity
The radii are getting larger up to 1. I'm thinking the connectd comp. form an open set at infinity
would it be something like: [tex]\{(x,y) \in \mathbb{R}^2 | (x-1)^2+y^2<1/n \ with \ n \ being \ a \ large \ pos. \ integer \} [/tex]
or is it the [tex] \emptyset[/tex]
what do you think?
B ((0,1), 1-1/n) for n = 3, ...to infinity
The radii are getting larger up to 1. I'm thinking the connectd comp. form an open set at infinity
would it be something like: [tex]\{(x,y) \in \mathbb{R}^2 | (x-1)^2+y^2<1/n \ with \ n \ being \ a \ large \ pos. \ integer \} [/tex]
or is it the [tex] \emptyset[/tex]
what do you think?