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The Jacobian Conjecture we have seen in this course appears in the book Single Digits 2015:
``It tells "In 1939, O.H. Keller proposed that if the transformation has polynomial entries,
the it is globally invertible and the inverse is also polynomial. This problem,
dubbed the Keller Jacobian Conjecture, is still unresolved. While this conjecture is widely believed to
hold in the two-dimensional setting discussed, it is suspected to be false in higher dimensions
(although a counterexample has yet to be found). The Fields medalist Steven Smale cited the
Keller Jacobian Conjecture as one of the most important mathematical problems of the twenty-first century"
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