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arXiv · 2308.04474

HMC real numbers in Countable Mathematical Analysis

Martin Klazar
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Abstract

We develop a theory of real numbers as rational Cauchy sequences, in which any two of them, $(a_n)$ and $(b_n)$, are equal iff $\lim\,(a_n-b_n)=0$. We need such reals in the Countable Mathematical Analysis ([4]) which allows to use only hereditarily at most countable (HMC) sets.

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Martin Klazar. 2023-08-08. HMC real numbers in Countable Mathematical Analysis. https://arxiv.org/abs/2308.04474

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