Abstract
Abstract
Let
{f\colon\mathbb{R}^{n}\rightarrow\mathbb{R}}
be a polynomial and
{\mathcal{Z}(f)}
its zero set. In this paper, in terms of the so-called Newton polyhedron of f, we present
a necessary criterion and a sufficient condition for the compactness of
{\mathcal{Z}(f)}
. From this we derive necessary and sufficient criteria for the stable compactness of
{\mathcal{Z}(f)}
.
Subject
Applied Mathematics,General Mathematics
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