On Smítal property

Year, pages: 2010, 47 - 54

In this paper, we define and study the property called Smítal property for the pair $(\mathcal M,\mathcal I)$, where $\mathcal M$ denotes a $\sigma $-algebra of subsets of real line and $\mathcal I\subset \mathcal M$ is a $\sigma $-ideal. It is a generalization of Smítal lemma. We give some examples of pairs $(\mathcal M,\mathcal I)$ having Smítal property and pairs which do not have this property.

Niedziałkowska, A. 2010. On Smítal property. In Tatra Mountains Mathematical Publications, vol. 46, no.2, pp. 47-54. 1210-3195.

Niedziałkowska, A. (2010). On Smítal property. Tatra Mountains Mathematical Publications, 46(2), 47-54. 1210-3195.