## Real Analysis Exchange

### Construction of Borel inseparable coanalytic sets.

#### Abstract

We prove general results from which large families of pairwise disjoint, Borel inseparable, complete coanalytic sets can be obtained. The elements of such families are naturally indexed by $2^{\aleph _0}$, $\omega _1$ or the classes of a Borel complete equivalence relation. We also give some concrete examples of such families in analysis, topology etc.

#### Article information

Source
Real Anal. Exchange, Volume 28, Number 1 (2002), 163-180.

Dates
First available in Project Euclid: 12 June 2006