English

A note on Carath\'eodory's Extension Theorem

Probability 2011-04-04 v2

Abstract

In this note, we show that the Carath\'eodory's extension theorem is still valid for a class of subsets of Ω\Omega less restricted than a semi-ring, which we call quasi-semi-ring.

Keywords

Cite

@article{arxiv.1103.6166,
  title  = {A note on Carath\'eodory's Extension Theorem},
  author = {Alexandre G Patriota},
  journal= {arXiv preprint arXiv:1103.6166},
  year   = {2011}
}

Comments

8 pages

R2 v1 2026-06-21T17:47:39.771Z