English

On submeasures on Boolean algebras

Logic 2013-03-05 v3

Abstract

We present a collection of observations and results concerning submeasures on Boolean algebras. They are all motivated by Maharam's problem and Talagrand's construction that solved it.

Cite

@article{arxiv.1212.6822,
  title  = {On submeasures on Boolean algebras},
  author = {Omar Selim},
  journal= {arXiv preprint arXiv:1212.6822},
  year   = {2013}
}

Comments

26 pages. This is just version 1. Journal restrictions meant that the changes in version 2 could not be made. Note also that the proof of Theorem 7.11 in version 2 is incorrect. This version (version 1) is unaffected

R2 v1 2026-06-21T23:02:05.186Z