Graduate Thesis Or Dissertation
 

A construction of the real numbers using nested closed intervals

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/9c67wr66s

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  • It is well- known that a real number can be defined as an equivalence class of fundamental rational sequences. In fact, it is also possible to define a real number as an equivalence class of sequences of nested closed rational intervals. This paper is devoted to the latter case.
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