Real Analysis Exchange

Some remarks on additive properties of invariant σ-ideals on the real line

A. B. Kharazishvili

Abstract

We consider some additive properties of invariant $\sigma$-ideals and $\sigma$-algebras of subsets of the real line ${\mathbb{R}}$. In particular, we generalize two classical Sierpinski results, concerning additive properties of measure and category on ${\mathbb{R}}$, to a large class of invariant $\sigma$-ideals and $\sigma$-algebras.

Article information

Source
Real Anal. Exchange, Volume 21, Number 2 (1995), 715-724.

Dates
First available in Project Euclid: 14 June 2012