Concerning non-measurable subsets of a given measurable set

Measurable Utility and the Measurable Choice Theorem

On the structure of measurable filters on a countable set

A combinatorial characterization of measurable filters on a countable set is found. We apply it to the problem of measurability of the intersection of nonmeasurable filters. The goal of this paper is to characterize measurable filters on the set of natural numbers. In section 1 we introduce basic notions, in section 2 we find a combinatorial characterization of measurable filters, in section 3 ...

Some Results concerning Frames Associated with Measurable Spaces

In this note some necessary or/and sufficient conditions for the perturbation of a (Ω, μ)-frame are given. We also discussed (Ω, μ)-frames of subspaces.

Generalized Rings of Measurable and Continuous Functions

This paper is an attempt to generalize, simultaneously, the ring of real-valued continuous functions and the ring of real-valued measurable functions.

Measurable Transformations