On the Hashimoto topology with respect to an extension of the Lebescue measure

Rok, strany: 2002, 147 - 151

We prove that the topology induced by any semi-lower density operator $Φ^*$ in the family of all measurable sets with respect to any complete extension $μ$ of the Lebesgue measure is formed by semi-operator $Φ^*$ restricted to the family of Lebesgue measurable sets and the $σ$-ideal of $μ$-null sets.

ISO 690:

Hejduk, J., Lindner, S. 2002. On the Hashimoto topology with respect to an extension of the Lebescue measure. In Tatra Mountains Mathematical Publications, vol. 24, no.2, pp. 147-151. 1210-3195.

APA:

Hejduk, J., Lindner, S. (2002). On the Hashimoto topology with respect to an extension of the Lebescue measure. Tatra Mountains Mathematical Publications, 24(2), 147-151. 1210-3195.