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(Solved): help (D): [6] Let f:RM be any map. Let r>0, and a,x1,x2,x3M. Set A=B(a,r),S={x1 ...



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(D): [6] Let \( f: \mathbb{R} \rightarrow M \) be any map. Let \( r>0 \), and \( a, x_{1}, x_{2}, x_{3} \in M \). Set \( A=\b
(D): [6] Let be any map. Let , and . Set , and . Assuming that and , give (E): [6] Let be a map and assume that is a complete metric space. Give additional minimum conditions on which ensure that is also complete, in each of the following cases. (a) Ig is a Lipschitz map, (b) is surjective.


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To find W, we need to determine the preimage of the complement of set A union the complement of set S under the map f.

Given:
A = B(a, r) (an open ball centered at a with radius r)
  
  
  
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