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Elementary real analysis without compactness argument

History and Overview 2024-11-11 v2

Abstract

In a famous paper, R. A. Gordon proved a dozen theorems using tagged partitions and Cousin's theorem. The purpose of this paper is to present several classical results using the key-lemma underlying Cousin's theorem.

Keywords

Cite

@article{arxiv.2410.19376,
  title  = {Elementary real analysis without compactness argument},
  author = {Claude-Alain Faure},
  journal= {arXiv preprint arXiv:2410.19376},
  year   = {2024}
}

Comments

6 pages, TeX, supplement to arXiv:2209.12682

R2 v1 2026-06-28T19:35:16.122Z