Algebras of sets and combinatorics
by Grinblat, L. S., (Leonid S.)
An algebra on a set X is a family of subsets of this set closed under the operations of union and difference of two subsets. The main topic of the book is the study of various algebras and families of algebras on an abstract set X. The author shows how this is related to famous problems by Lebesgue, Banach, and Ulam on the existence of certain measures on abstract sets, with corresponding algebras being algebras of measurable subsets with respect to these measures. In particular it is shown tha…
Read More ↓Title Statements
- Full title :Algebras of sets and combinatorics / L.Š. Grinblat.
Summary
An algebra on a set X is a family of subsets of this set closed under the operations of union and difference of two subsets. The main topic of the book is the study of various algebras and families of algebras on an abstract set X. The author shows how this is related to famous problems by Lebesgue, Banach, and Ulam on the existence of certain measures on abstract sets, with corresponding algebras being algebras of measurable subsets with respect to these measures. In particular it is shown that for a certain algebra not to coincide with the algebra of all subsets of X is equivalent to the exi.
Read More ↓Edition Statements
- Publication Date:©2002.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:©2002.
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:9781470446390, 1470446391
- oclc:on1031919347
- LC Classification:QA248.G753 2002
- Dewey Decimal:511.3/22
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