Maharam’s problem

Pages 981-1009 from Volume 168 (2008), Issue 3 by Michel Talagrand

Abstract

We construct an exhaustive submeasure that is not equivalent to a measure. This solves problems of J. von Neumann (1937) and D. Maharam (1947).

Mathematical Subject Classification

Primary 2000:

DOI
https://doi.org/10.4007/annals.2008.168.981
MR
2456888
zbMATH
1185.28002
Milestones
Received: 6 February 2006
Revised: 13 September 2006
Accepted: 14 December 2006
Published online: 1 March 2009

Authors

Michel Talagrand

Équipe d'analyse de l'institut Mathematique
Université Paris VI
75230 Paris
France