2. Let (S, d) be a discrete metric space and p E S. Identify S i(P), S1 (p), S2(p).

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Author:Erwin Kreyszig
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metric space

2. Let (S, d) be a discrete metric space and p e S. Identify S1 (p), S1(p), S2(p).
3. Let R have the usual metric d(x, y) = |x – y|. Sketch S1 (0) and S1(1).
4. Let R have the usual metric d(x, y) = |x – y|. Sketch S
ą 0] and S1[1].
5. Let R? have the usual metric d(x, y) = V(x1 – Yı)² + (x2 – Y2)².
Sketch S1 (0, 0), S1(1,1), Sı[(0,0)].
Transcribed Image Text:2. Let (S, d) be a discrete metric space and p e S. Identify S1 (p), S1(p), S2(p). 3. Let R have the usual metric d(x, y) = |x – y|. Sketch S1 (0) and S1(1). 4. Let R have the usual metric d(x, y) = |x – y|. Sketch S ą 0] and S1[1]. 5. Let R? have the usual metric d(x, y) = V(x1 – Yı)² + (x2 – Y2)². Sketch S1 (0, 0), S1(1,1), Sı[(0,0)].
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