## Real Analysis Exchange

### Sierpinski-Zygmund uniform limits of extendable connectivity functions .

Harvey Rosen

#### Abstract

We show that the class $SZ$ of Sierpinski-Zygmund functions has a nonempty intersection with the class $\extb$ of all uniform limits of sequences of extendable connectivity functions $f_n:\R\to\R.$ We reconsider the idea of $f$-negligible sets this time with respect to $f\in \extb.$ We also show that under MA, $SZ\cap \extb$ cannot be characterized by preimages of sets.

#### Article information

Source
Real Anal. Exchange, Volume 28, Number 1 (2002), 105-110.

Dates
First available in Project Euclid: 12 June 2006