Open AccessDisintegration and compact measures.
Author(s) -
Jan Pachl
Publication year - 1978
Publication title -
mathematica scandinavica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.553
H-Index - 30
eISSN - 1903-1807
pISSN - 0025-5521
DOI - 10.7146/math.scand.a-11771
Subject(s) - mathematics , locally compact space , measure (data warehouse) , probability measure , space (punctuation) , pure mathematics , compact space , sigma , relatively compact subspace , algebra over a field , discrete mathematics , computer science , data mining , physics , quantum mechanics , operating system
A probability space is compact in the sense of Marczewski if and only if it admits countably additive disintegrations. It follows that the restriction of a compact measure to a sub-$\sigma$-algebra is compact.