3 problems

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Mai's conjecture on compact completely scrambled dynamical systems
Mai's conjecture. There is no compact completely scrambled topological dynamical system. The conjecture arose from Mai's non-compact example; the paper refutes it by constructing c…
Conjectureopenscrambled-sets topological-dynamics zero-dimensional-dynamicsarXiv posted 2 days ago
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Balibrea–Guirao–Oprocha conjecture on invariant scrambled sets
Balibrea–Guirao–Oprocha conjecture. There exists a weakly mixing system with a fixed point but without invariant $\delta$ -scrambled sets.
Conjectureopenchaos-theory scrambled-sets topological-dynamicsarXiv posted 2 days ago
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The existence of weakly mixing systems without invariant delta-scrambled sets
The weak-mixing invariant-scrambled-set conjecture. There exists a weakly mixing system with a fixed point but without invariant $\delta$ -scrambled sets.
Conjectureopenscrambled-sets topological-dynamics weak-mixingarXiv posted 2 days ago

Mai's conjecture on compact completely scrambled dynamical systems