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Unipotent Jacobian Matrices and Univalent Maps

L. Andrew Campbell

math.AGarXiv:math/9907157

Abstract

The Jacobian Conjecture would follow if it were known that real polynomial maps with a unipotent Jacobian matrix are injective. The conjecture that this is true even for C1 maps is explored here. Some results known in the polynomial case are extended to the C1 context, and some special cases are resolved.

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