Homeomorphisms with the whole compacta being scrambled sets

By Wen Huang, Xiangdong Ye. Ergodic Theory and Dynamical Systems, 2001

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Recent development of chaos theory in topological dynamics (2015, background): “These examples are not weakly mixing, so the existence of completely scrambled weakly mixing homeomorphism is left open in [45].”
On Li-Yorke pairs (2002, background): “It is one in a series of papers by various authors on that subject ([22], [31], [13] and two forthcoming papers, [20], [21]).”
DISTRIBUTIONAL CHAOS REVISITED (2009, background): “It is possible to construct maps with scrambled set equal to the whole compacta [27]; however such a construction is impossible when ε-scrambled sets are considered [11].”
Topological chaos: what may this mean? (2008, background): “[33], where some properties of those systems are given – in particular such a system is never minimal – and one example is described; in Ref.”