paper

A small transitive family of continuous functions on the Cantor set

arXiv:math/0004024 · doi:10.1016/S0166-8641(01)00207-3

Abstract

In this paper we show that, when we iteratively add Sacks reals to a model of ZFC we have for every two reals in the extension a continuous function defined in the ground model that maps one of the reals onto the other.

11 pages