Displaying similar documents to “On nonmeasurable selectors of countable group actions”

On the generalized Avez method

Antoni Leon Dawidowicz (1992)

Annales Polonici Mathematici

Similarity:

A generalization of the Avez method of construction of an invariant measure is presented.

The uniqueness of Haar measure and set theory

Piotr Zakrzewski (1997)

Colloquium Mathematicae

Similarity:

Let G be a group of homeomorphisms of a nondiscrete, locally compact, σ-compact topological space X and suppose that a Haar measure on X exists: a regular Borel measure μ, positive on nonempty open sets, finite on compact sets and invariant under the homeomorphisms from G. Under some mild assumptions on G and X we prove that the measure completion of μ is the unique, up to a constant factor, nonzero, σ-finite, G-invariant measure defined on its domain iff μ is ergodic and the G-orbits...