On a problem of banach

Andrzej Pelc, Karel Prikry

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Assuming the continuum hypothesis, we obtain a translation invariant version of the following result of E. Grzegorek: There are two countably generated o-algebras on the interval [0, 1 ] such that both carry a nonatomic countably additive probability measure, but the a-algebra generated by their union does not carry any such measure.

Original languageEnglish (US)
Pages (from-to)608-610
Number of pages3
JournalProceedings of the American Mathematical Society
Volume89
Issue number4
DOIs
StatePublished - Dec 1983

Keywords

  • Continuum hypothesis
  • Countably generated o-algebra
  • Phrases. Translation invariant measure

Fingerprint Dive into the research topics of 'On a problem of banach'. Together they form a unique fingerprint.

Cite this