Universal entire functions that define order isomorphisms of countable real sets

Paul M. Gauthier

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arXiv · 1807.02770

Universal entire functions that define order isomorphisms of countable real sets

Paul M. Gauthier

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Abstract

In 1895, Cantor showed that between every two countable dense real sets, there is an order isomorphism. In fact, there is always such an order isomorphism, which is the restriction of a universal entire function.

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Paul M. Gauthier. 2018-07-08. Universal entire functions that define order isomorphisms of countable real sets. https://arxiv.org/abs/1807.02770

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