$(\mathcal{B} \triangle \mathcal{I},\mathcal{I})$-saturated sets and Hamel basis

In: Tatra Mountains Mathematical Publications, vol. 62, no. 1

Aleksandra Karasińska - Elżbieta Wagner-Bojakowska

Detaily:

Rok, strany: 2015, 143 - 150

Kľúčové slová:

nullsets, sets of the first category, microscopic sets, saturated non-measurable sets, Bernstein set, Hamel basis

O článku:

Let $\mathcal{I}$ be a proper $\sigma$-ideal of subsets of the real line. In a $\sigma$-field of Borel sets modulo sets from the $\sigma$-ideal $\mathcal{I}$ we introduce an analogue of the saturated non-measurability considered by I. Halperin. Properties of $(\mathcal{B}\triangle\mathcal{I},\mathcal{I})$-saturated sets are investigated. \par M. Kuczma considered a problem how small or large a Hamel basis can be. We try to study this problem in the context of sets from $\mathcal{I}$.

Ako citovať:

ISO 690:

Karasińska, A., Wagner-Bojakowska, E. 2015. $(\mathcal{B} \triangle \mathcal{I},\mathcal{I})$-saturated sets and Hamel basis. In Tatra Mountains Mathematical Publications, vol. 62, no.1, pp. 143-150. 1210-3195.

APA:

Karasińska, A., Wagner-Bojakowska, E. (2015). $(\mathcal{B} \triangle \mathcal{I},\mathcal{I})$-saturated sets and Hamel basis. Tatra Mountains Mathematical Publications, 62(1), 143-150. 1210-3195.