Distributionally chaotic maps are C⁰-dense
classification
🧮 math.DS
keywords
densemapsboundarychaoschaoticcompactcontinuousdistributional
read the original 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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