Distributionally chaotic maps are 𝐶⁰-dense

Kawaguchi, Noriaki

doi:10.1090/proc/14696

Distributionally chaotic maps are $C^0$-dense
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Proc. Amer. Math. Soc. 147 (2019), 5339-5348 Request permission

Abstract:

We prove that the set of maps which exhibit distributional chaos of type 1 (DC1) is $C^0$-dense in the space of continuous self-maps of given any compact topological manifold (possibly with boundary).

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