Measurable space
From Encyclopedia of Mathematics
A set 
with a distinguished ring or 
-ring 
(in particular, an algebra or a 
-algebra) of subsets of 
.
Examples: 
with the ring of Jordan-measurable sets (see Jordan measure); 
with the 
-ring of sets of finite Lebesgue measure; a topological space 
with the 
-algebra of Borel sets (cf. Borel set).
References
| [1] | P.R. Halmos, "Measure theory" , v. Nostrand (1950) |
How to Cite This Entry:
Measurable space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Measurable_space&oldid=19851
Measurable space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Measurable_space&oldid=19851
This article was adapted from an original article by V.V. Sazonov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article