EDB — 1P5

[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.