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

Tom 183 / 2004

Stevo Todorcevic Fundamenta Mathematicae 183(2004), 169-183 MSC: Primary 28A60. DOI: 10.4064/fm183-2-7

Streszczenie

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

Autorzy

  • Stevo TodorcevicUniversité Paris VII, C.N.R.S.
    UMR 7056
    2 Place Jussieu
    75251 Paris, France
    and
    Department of Mathematics
    University of Toronto
    Toronto, Canada, M5S 3G3
    and
    Centre de Recerca Matèmatica
    Apartat 50
    E-08193 Bellaterra, Spain
    e-mail

Przeszukaj wydawnictwa

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek