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portada Sigma-ring
Type
Physical Book
Publisher
Language
English
Format
Paperback
ISBN13
9786131200359

Sigma-ring

New Book Imported to Netherlands
Delivery: 07 Oct - 09 Oct Shipping: 14 to 15 business days.
€ 121,98
Import costs and 9% BTW included in the price ✅
€ 121,98

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Synopsis "Sigma-ring"

High Quality Content by WIKIPEDIA articles! In mathematics, a nonempty collection of sets mathcal{R} is called a -ring (pronounced sigma-ring) if it is closed under countable union and relative complementation: 1. bigcup_{n=1}^{infty} A_{n} in mathcal{R} if A_{n} in mathcal{R} for all n in mathbb{N} 2. A - B in mathcal{R} if A, B in mathcal{R} From these two properties we immediately see that bigcap_{n=1}^{infty} A_n in mathcal{R} if A_{n} in mathcal{R} for all n in mathbb{N}This is simply because cap_{i=1}^infty A_n = A_1 - cup_{n=1}^{infty}(A_1-A_n). If the first property is weakened to closure under finite union (i.e., A cup B in mathcal{R} whenever A, B in mathcal{R}) but not countable union, then mathcal{R} is a ring but not a -ring.

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