A problem of von Neumann and Maharam about algebras supporting continuous submeasures

Stevo Todorcevic

Fundamenta Mathematicae (2004)

  • Volume: 183, Issue: 2, page 169-183
  • ISSN: 0016-2736

Abstract

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We show that a σ-algebra 𝔹 carries a strictly positive continuous submeasure if and only if 𝔹 is weakly distributive and it satisfies the σ-finite chain condition of Horn and Tarski.

How to cite

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Stevo Todorcevic. "A problem of von Neumann and Maharam about algebras supporting continuous submeasures." Fundamenta Mathematicae 183.2 (2004): 169-183. <http://eudml.org/doc/282837>.

@article{StevoTodorcevic2004,
abstract = {We show that a σ-algebra 𝔹 carries a strictly positive continuous submeasure if and only if 𝔹 is weakly distributive and it satisfies the σ-finite chain condition of Horn and Tarski.},
author = {Stevo Todorcevic},
journal = {Fundamenta Mathematicae},
keywords = {complete Boolean algebra; von Neumann problem; weak distributivity},
language = {eng},
number = {2},
pages = {169-183},
title = {A problem of von Neumann and Maharam about algebras supporting continuous submeasures},
url = {http://eudml.org/doc/282837},
volume = {183},
year = {2004},
}

TY - JOUR
AU - Stevo Todorcevic
TI - A problem of von Neumann and Maharam about algebras supporting continuous submeasures
JO - Fundamenta Mathematicae
PY - 2004
VL - 183
IS - 2
SP - 169
EP - 183
AB - We show that a σ-algebra 𝔹 carries a strictly positive continuous submeasure if and only if 𝔹 is weakly distributive and it satisfies the σ-finite chain condition of Horn and Tarski.
LA - eng
KW - complete Boolean algebra; von Neumann problem; weak distributivity
UR - http://eudml.org/doc/282837
ER -

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