HMC real numbers in Countable Mathematical Analysis

Published 8 Aug 2023 in math.LO and math.HO | (2308.04474v1)

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

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