Set Theory and Logic

   

A Diagonal Map of the Real Numbers in the Closed Interval [0, 1] to the Natural Numbers

Authors: James Edwin Rock

The terminating decimal fractions in the open interval (0, 1) are put in 1-1 correspondence with the set of positive integers. Defining the reals in [0, 1] as the limits of their partial decimal sums, sets up a diagonal map to the natural numbers.

Comments: 1 Page. This paper contains an explicit map of the real numbers in [0, 1] to the natural numbers

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Submission history

[v1] 2019-07-10 05:30:35

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