Carathéodory outer measure on IF-sets

In: Mathematica Slovaca, vol. 58, no. 1

Alžbeta Michalíková

Detaily:

Rok, strany: 2008, 63 - 76

Kľúčové slová:

IF-set, outer measure, measurable element

O článku:

In this paper an outer measure on IF-sets is studied as a mapping to the set of all compact subintervals of the unit interval. We characterize the properties of the outer measure by the help of the properties of functions given by the edges of the intervals. Then there are defined measurable elements and there is proved that the family of measurable elements is a lattice. Finally the outer measure induced by a measure is constructed.

Ako citovať:

ISO 690:

Michalíková, A. 2008. Carathéodory outer measure on IF-sets. In Mathematica Slovaca, vol. 58, no.1, pp. 63-76. 0139-9918.

APA:

Michalíková, A. (2008). Carathéodory outer measure on IF-sets. Mathematica Slovaca, 58(1), 63-76. 0139-9918.