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Iterated Brownian motion ad libitum is not the pseudo-arc

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Abstract

We show that the construction of a random continuum $\mathcal{C}$ from independent two-sided Brownian motions as considered in arXiv:2004.01367 almost surely yields a non-degenerate indecomposable but not-hereditary indecomposable continuum. In particular $\mathcal{C}$ is (unfortunately) not the pseudo-arc.

Dates and versions

hal-03287260 , version 1 (15-07-2021)

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Jérôme Casse, Nicolas Curien. Iterated Brownian motion ad libitum is not the pseudo-arc. 2021. ⟨hal-03287260⟩
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