Mathematics · Metric Spaces
Two metrics d1 and d2 on a set X are defined to be equivalent if and only if:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1They generate the same topology✓
- 2They have the same Cauchy sequences only
- 3They have the same bounded sets only
- 4d1(x, y) = d2(x, y) for all x, y ∈ X
Correct answer
They generate the same topology
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