Ultrafilter
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High Quality Content by WIKIPEDIA articles! In the mathematical field of set theory, an ultrafilter on a set X is a collection of subsets of X that is a filter, that cannot be enlarged (as a filter). An ultrafilter may be considered as a finitely additive measure. Then every subset of X is either considered "almost everything" (has measure 1) or "almost nothing" (has measure 0). If A is a subset of X, then either A or X A is an element of the ultrafilter (here X A is the relative complement of A in X; that is, the set of all elements of X that are not in A). The concept can be generalized to Boolean algebras or even to general partial orders, and has many applications in set theory, model theory, and topology.
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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786131164903
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Größe H220mm x B5mm x T150mm
- EAN 9786131164903
- Format Fachbuch
- Titel Ultrafilter
- Gewicht 129g
- Herausgeber Betascript Publishing
- Anzahl Seiten 84
- Genre Mathematik
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