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.

Weitere 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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