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Compactness criteria for real algebraic sets and Newton polyhedra.
- Source :
-
Forum Mathematicum . Nov2018, Vol. 30 Issue 6, p1387-1395. 9p. - Publication Year :
- 2018
-
Abstract
- Let f : ℝ n → ℝ {f\colon\mathbb{R}^{n}\rightarrow\mathbb{R}} be a polynomial and 𝒵 (f) {\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 𝒵 (f) {\mathcal{Z}(f)}. From this we derive necessary and sufficient criteria for the stable compactness of 𝒵 (f) {\mathcal{Z}(f)}. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*NEWTON diagrams
*POLYNOMIALS
*COMPACT spaces (Topology)
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 09337741
- Volume :
- 30
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Forum Mathematicum
- Publication Type :
- Academic Journal
- Accession number :
- 132824324
- Full Text :
- https://doi.org/10.1515/forum-2017-0105