Finding a solutions for an equation

dg.differential geometry – Properness of precise analytic maps? retort

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dg.differential geometry – Properness of precise analytic maps?

moor a polynomial mapping $mathbb R^noverset{f}{to} mathbb R$. This retort exhibits that if the highest diploma homogeneous element of $f$ is zero solely on the inception, then $f$ is succesful. Intuitively, this circumstances finally forces the fibers to breathe “closed contours” in regards to the inception.

Can this breathe generalized to a situation on the coefficients of an influence succession to make sure properness of an analytic mapping $mathbb R^noverset{f}{to} mathbb R$?

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