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portada Sigma-ideal
Type
Physical Book
Publisher
Language
English
Format
Paperback
Dimensions
22x15x0.5 cm
ISBN13
9786131200663

Sigma-ideal

New Book Imported to Taiwan
Delivery: 21 Oct - 29 Oct Shipping: 13 to 14 business days.
NT$ 4,833
NT$ 4,833

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Synopsis "Sigma-ideal"

High Quality Content by WIKIPEDIA articles! In mathematics, particularly measure theory, a -ideal of a sigma-algebra ( , read "sigma," means countable in this context) is a subset with certain desirable closure properties. It is a special type of ideal. Its most frequent application is perhaps in probability theory. Let (X, ) be a measurable space (meaning is a -algebra of subsets of X). A subset N of is a -ideal if the following properties are satisfied: (i) N; (ii) When A N and B , B A B N; (iii) left{A_n right}_{ninmathbb{N}} subseteq N Rightarrow bigcup_{ninmathbb{N}} A_nin N. Briefly, a sigma-ideal must contain the empty set and contain subsets and countable unions of its elements. The concept of -ideal is dual to that of a countably complete ( -) filter. If a measure is given on (X, ), the set of -negligible sets (S such that (S) = 0) is a -ideal.

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