Iterated Brownian motion ad libitum is not the pseudo-arc

preprint2021arXivOpen access

Abstract

We show that the construction of a random continuum C\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 C\mathcal{C} is (unfortunately) not the pseudo-arc.

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