On local invariants of totally real surfaces.
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On negative weight derivations of the moduli algebras of weighted homogeneous hypersurface singularities.
Hao Chen (1995)
Mathematische Annalen
On p-parameter bifurcation of an n-dimensional function-germ.
Nicolas Dutertre (1997)
Manuscripta mathematica
On the Euler characteristic of the links of a set determined by smooth definable functions
Krzysztof Jan Nowak (2008)
Annales Polonici Mathematici
The purpose of this paper is to carry over to the o-minimal settings some results about the Euler characteristic of algebraic and analytic sets. Consider a polynomially bounded o-minimal structure on the field ℝ of reals. A () smooth definable function φ: U → ℝ on an open set U in ℝⁿ determines two closed subsets W := u ∈ U: φ(u) ≤ 0, Z := u ∈ U: φ(u) = 0. We shall investigate the links of the sets W and Z at the points u ∈ U, which are well defined up to a definable homeomorphism. It is proven...
Currently displaying 1 – 4 of 4
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