# 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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