Mathematics · Topology
Let (X, d) be a compact metric space. If f : X → X is a continuous and injective function, then which of the following statements is always true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f need not be surjective.✓
- 2f must be constant.
- 3f must be an isometry.
- 4f must be surjective.
Correct answer
f need not be surjective.
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