Non-smooth points set of fibres of a semialgebraic mapping
スポンサーリンク
概要
- 論文の詳細を見る
For a semialgebraic mapping between semialgebraic sets, we consider the set of points at which the fibre is not smooth. In this paper we discuss whether the singular set is itself semialgebraic, when it has codimension bigger than or equal to 2 in the domain of f and whether the mapping is semialgebraically trivial along the smooth part of the fibre, giving several examples which show optimality of those results. In addition, we give an example of a polynomial function f such that even the (af) condition in the weak sense fails in a neighbourhood of a smooth fibre, but f is semialgebraically trivial along it.
- 社団法人 日本数学会の論文
- 2007-10-01
著者
-
Koike Satoshi
Department Of Mathematics Kyoto University
-
Shiota Masahiro
Graduate School Of Mathematics Nagoya University
-
Koike Satoshi
Department Of Mathematics Hyogo University Of Teacher Education
関連論文
- Behavioral evidence of color vision deficiency in a protanomalia chimpanzee (Pan troglodytes)
- Polymorphic variations in long- and middle-wavelength-sensitive opsin gene loci in crab-eating monkeys
- Effects of Inhibin on Rat Gonadal Differentiation and Development In Vitro
- Effects of Post-Weaning Differential Housing on Serum Testosterone Levels in Male Mice throughout Aging : Endocrinology
- Immunohistochemical Localizations of TGF-β in the Developing Rat Gonads
- Non-smooth points set of fibres of a semialgebraic mapping
- On $\nu$-Sufficiency and $(\bar{h})$-Regularity
- Immunohistochemical Expression of Inhibin-α Subunit in the Developing Rat Gonads
- On strong C^0 -equivalence of real analytic functions
- Modified Nash triviality theorem for a family of zero-sets of weighted homogeneous polynomial mappings
- Equivalence relations for two variable real analytic function germs
- Notes on C0 sufficiency of quasijets
- Equivalence relations for two variable real analytic function germs