Measures Form a Complete Lattice
Functional Analysis
2021-04-15 v1
Abstract
We show that the set of all measures on any measurable space is a complete lattice, i.e. every collection of measures has both a greatest lower bound and a least upper bound.
Cite
@article{arxiv.2104.06753,
title = {Measures Form a Complete Lattice},
author = {Senan Sekhon},
journal= {arXiv preprint arXiv:2104.06753},
year = {2021}
}