Distributionally chaotic maps are 𝐶⁰-dense

Author:

Kawaguchi Noriaki

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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