Mathematics · Topology
Suppose f : [0, 1] × [0, 1] → (0, 1) × (0, 1) is a continuous non-constant function. Which of the following statements is NOT necessarily true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Image of f has non-empty interior✓
- 2Image of f is a compact set
- 3Image of f is a path connected set
- 4Image of f is uncountable
Correct answer
Image of f has non-empty interior
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