The Hilbert cube is the space with the metric relative to that of .

Let given by and with the usual metric.

Prove that f is a homeomorphism.

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- Jun 12th 2009, 09:35 AMIntiThe Hilbert cube homeomorphic to the cube?
The Hilbert cube is the space with the metric relative to that of .

Let given by and with the usual metric.

Prove that f is a homeomorphism.