3) Prove that the cardinality of the open unit interval, (0,1), is equal to the cardinality...

3) Prove that the cardinality of the open unit interval, (0,1), is equal to the cardinality of the open unit cube:

{(x,y,z) E R^3|0<x<1, 0<y<1, 0<Z<1}.

[Hint: Model your argument on Cantor's proof for the interval and the open square. Consider the decimal expansion of the fraction 12/999. It may prove handdy]

Expert Solution

Colby Messinger answered 2 years ago

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