English

Set Theory and the Analyst

Classical Analysis and ODEs 2018-01-30 v1

Abstract

This survey is motivated by specific questions arising in the similarities and contrasts between (Baire) category and (Lebesgue) measure -- category-measure duality and non-duality, as it were. The bulk of the text is devoted to a summary, intended for the working analyst, of the extensive background in set theory and logic needed to discuss such matters: to quote from the Preface of Kelley [Kel]: "what every young analyst should know".

Cite

@article{arxiv.1801.09149,
  title  = {Set Theory and the Analyst},
  author = {N. H. Bingham and A. J. Ostaszewski},
  journal= {arXiv preprint arXiv:1801.09149},
  year   = {2018}
}
R2 v1 2026-06-22T23:59:32.314Z