Sigma-algebra: Difference between revisions
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(An overview of <math>\sigma</math>-algebras and related theorems will be placed on this page.) |
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<math>\sigma</math>-algebra page placeholder | Under construction: Currently a <math>\sigma</math>-algebra page placeholder. | ||
A '''<math>\sigma</math>-algebra''' is an [[algebra]] that is closed under countable unions. Thus a <math>\sigma</math>-algebra is a nonempty collection ''A'' of subsets of a nonempty set ''X'' closed under countable unions and complements. | |||
Revision as of 00:05, 8 October 2020
Under construction: Currently a -algebra page placeholder.
A -algebra is an algebra that is closed under countable unions. Thus a -algebra is a nonempty collection A of subsets of a nonempty set X closed under countable unions and complements.