Difference between revisions of "Lebesgue measurable"
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(New page: Lebesgue measurable sets are those which can be assigned a volume. The measure of set A is λ(A). Non-measurable sets, which combined with the Axiom of Choice, lead to strange resu...) |
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Lebesgue measurable sets are those which can be assigned a volume. The measure of set A is λ(A). | Lebesgue measurable sets are those which can be assigned a volume. The measure of set A is λ(A). | ||
| − | Non-measurable sets, | + | Non-Lebesgue measurable sets, when combined with the [[Axiom of Choice]], lead to strange results such as the [[Banach-Tarski paradox]]. |
[[category:mathematics]] | [[category:mathematics]] | ||
Revision as of 04:19, June 30, 2007
Lebesgue measurable sets are those which can be assigned a volume. The measure of set A is λ(A).
Non-Lebesgue measurable sets, when combined with the Axiom of Choice, lead to strange results such as the Banach-Tarski paradox.