English

HMC real numbers in Countable Mathematical Analysis

Logic 2023-08-10 v1 History and Overview

Abstract

We develop a theory of real numbers as rational Cauchy sequences, in which any two of them, (an)(a_n) and (bn)(b_n), are equal iff lim(anbn)=0\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.

Keywords

Cite

@article{arxiv.2308.04474,
  title  = {HMC real numbers in Countable Mathematical Analysis},
  author = {Martin Klazar},
  journal= {arXiv preprint arXiv:2308.04474},
  year   = {2023}
}

Comments

10 pages

R2 v1 2026-06-28T11:51:10.402Z