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ehrenfest
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[SOLVED] metric space
If x and y are two points in a metric space and d(x,y) = 1, is it always true that the closure of B(x,1/2) does not contain y?
In general, is [tex] closure( B(x,r)) = \{z | r \geq d(x,z)\}[/tex]
Homework Statement
If x and y are two points in a metric space and d(x,y) = 1, is it always true that the closure of B(x,1/2) does not contain y?
In general, is [tex] closure( B(x,r)) = \{z | r \geq d(x,z)\}[/tex]
Homework Equations
The Attempt at a Solution
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