[0,1] is not a Minimality Detector for [0,1]^2

Details [0,1] is not a Minimality Detector for [0,1]^2 [0,1] is not a Minimality Detector for [0,1]^2

2009-05-26

arxiv.org/abs/0905.4276v1

Mathematics

Dynamical Systems

4 pages

Scientific paper

This paper shows that there exists a non-minimal sequence $\bar{x} \in
([0,1]^2)^{\mathbb{N}}$ such that for any continuous function $f:[0,1]^2 \to
[0,1]$, the sequence obtained by mapping terms of $\bar{x}$ by $f$ is minimal.

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