σ-algebra

σ-algebra englanniksi

1. A collection of subsets of a given set, such that the set is part of this collection, the collection is closed under complements (with respect to the given set) and the collection is closed under countable unions.

2. {{quote-book|en|year=2001|author=Elliott H. Lieb; Michael Loss|title=Analysis|publisher=American Mathematical Society|pageurl=https://books.google.com.au/books?id=Eb_7oRorXJgC&pg=PA4&dq=%22sigma-algebra%22%7C%22sigma-algebras%22&hl=en&sa=X&ved=0ahUKEwicqIDr5rHaAhUKgLwKHXRfDUgQ6AEIPDAEv=onepage&q=%22sigma-algebra%22%7C%22sigma-algebras%22&f=false|page=4

3. {{quote-book|en|year=2013|author=Alexandr A. Borovkov|title=Probability Theory|pageurl=https://books.google.com.au/books?id=hRk_AAAAQBAJ&pg=PA15&dq=%22%CF%83-algebra%22%7C%22%CF%83-algebras%22&hl=en&sa=X&ved=0ahUKEwi6mMjB37HaAhULVa0KHcxJAHcQ6AEIMzACv=onepage&q=%22%CF%83-algebra%22%7C%22%CF%83-algebras%22&f=false|page=15|publisher=Springer