id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_zfe5ys7zljaqvbv7pc4sfxy6im	Zalán Gyenis	Characterizing Common Cause Closed Probability Spaces*	2011	21	.pdf	application/pdf	9071	1075	82	cause completability of classical, Kolmogorovian probability measure spaces. It is known that common cause incomplete probability spaces exist and it also is Boolean algebra of finite cardinality can be common cause closed and that purely nonatomic probability spaces are common cause closed (Proposition 7 in [9]). Given a classical probability measure space, events a, b ∈ S are called correlated in p the corresponding probability algebra Ŝ are correlated; moreover c ∈ S is a common cause The probability space (X, S, p) is common cause incomplete if there exist Given a common cause incomplete probability space, it is natural to ask if it can be Every probability space has a purely non-atomic common cause closed In particular, every probability space is common cause completable with respect every common cause incomplete probability space is "locally" (i.e. with respect to a given, extension exists that is common cause closed but is not purely non-atomic but has one	./cache/work_zfe5ys7zljaqvbv7pc4sfxy6im.pdf	./txt/work_zfe5ys7zljaqvbv7pc4sfxy6im.txt