A Fractal which violates the Axiom of Determinacy

Søren Riis


By use of the axiom of choice I construct a symmetrical and self-similar subset A \subseteq [0,1] \subseteq R. Then by an elementary strategy stealing argument it is shown that A is not determined. The (possible) existence of fractals like A clarifies the status of the controversial Axiom of Determinacy.

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DOI: http://dx.doi.org/10.7146/brics.v1i24.21642
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ISSN: 0909-0878 

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