One-one Polynomial Maps
نویسندگان
چکیده
It is a fundamental fact about simultaneous linear equations that uniqueness implies existence in the sense that if the »X» system MX= Y has, for each Y, at most one solution X, then, for each Y, the equation actually has a solution. Our purpose is to show that this situation persists for certain "nonlinear equations" as well, namely that, restricting everything to the reals, if Pi, P2 are polynomials and for each yu y2 the system
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