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

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

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

90.2K

Verified Solution

Question

Advance Math

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

Answer & Explanation Solved by verified expert

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