EDB — 1P5

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E9

[1P5]Prerequisites:[0V8], [1P3].Show that you can’t find a curve \(c:[0,1]\to [0,1]^ 2\) continuous and bijective. Therefore a curve \(c:[0,1]\to [0,1]^ 2\) that is continuous and surjective cannot be injective; such as the Peano curve, the Hilbert curve.

Solution 1

[1P6]

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