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A small transitive family of continuous functions on the Cantor set

K. P. Hart·B. J. van der Steeg
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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.

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K. P. Hart, B. J. van der Steeg. 2001-04-18. A small transitive family of continuous functions on the Cantor set. https://doi.org/10.1016/s0166-8641(01)00207-3

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