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A rubber sheet, initially a square, undergoes continuous deformation. Which outcome always maintains topological equivalence with the original square?

A)Cutting sheet fully in half
B)Gluing two opposite edges together
C)Punching a hole in the sheet
D)Stretching into a circle

💡 Explanation

Stretching the sheet into a circle maintains topological equivalence because the process involves continuous deformation without cutting or gluing, therefore preserving the fundamental properties; rather than cutting or gluing operations that would change the topology.

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