A Topological Tennenbaum Theorem
Logic
2023-11-27 v1
Abstract
We prove that in Borel models of arithmetic on an uncountable Polish space, neither addition nor multiplication is continuous. This is an analogue of Tennenbaum's Theorem for topological models of arithmetic. This answers a question of Enayat, Hamkins, and Wcis{\l}o.
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Cite
@article{arxiv.2311.13699,
title = {A Topological Tennenbaum Theorem},
author = {Elliot Glazer},
journal= {arXiv preprint arXiv:2311.13699},
year = {2023}
}
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8 pages