Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Rado's theorem for the Loeb space of an internal $ *$-finitely additive measure space


Author: Boško Živaljević
Journal: Proc. Amer. Math. Soc. 112 (1991), 203-207
MSC: Primary 03H05; Secondary 28A05
DOI: https://doi.org/10.1090/S0002-9939-1991-1056688-2
MathSciNet review: 1056688
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A version of Rado's theorem about the existence of a family of subsets of a given family of sets combinatorially similar to another family of sets is proved for the Loeb space of an internal $ *$-finitely additive measure space. As a corollary we obtain the Loeb measured case of the result of B. Bollobas and N. Th. Varopoulos about the existence of a family of mutually disjoint measurable subsets of the given family of measurable sets, having the prescribed measure.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 03H05, 28A05

Retrieve articles in all journals with MSC: 03H05, 28A05


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1991-1056688-2
Article copyright: © Copyright 1991 American Mathematical Society