## Journal of Symbolic Logic

### Finite Support Iteration and Strong Measure Zero Sets

Janusz Pawlikowski

#### Abstract

Any finite support iteration of posets with precalibre $\aleph_1$ which has the length of cofinality greater than $\omega_1$ yields a model for the dual Borel conjecture in which the real line is covered by $\aleph_1$ strong measure zero sets.

#### Article information

Source
J. Symbolic Logic, Volume 55, Issue 2 (1990), 674-677.

Dates
First available in Project Euclid: 6 July 2007

https://projecteuclid.org/euclid.jsl/1183743324

Mathematical Reviews number (MathSciNet)
MR1056381

Zentralblatt MATH identifier
0703.03032

JSTOR