On the Euler Characteristic of Complex Algebraic Varieties.
The Euler characteristic of algebraic complete intersections.
A Formula for the Euler characteristic of a real algebraic manifold.
On the number of singular ponts of a real projective hypersurface.
On the division of functions of class by real analytic functions
On topological invariants of vector bundles
Let E → W be an oriented vector bundle, and let X(E) denote the Euler number of E. The paper shows how to calculate X(E) in terms of equations which describe E and W.
Algebraically constructible functions and signs of polynomials.
An algebraic method for calculating the topological degree
On the Euler characteristic of fibres of real polynomial maps
Let Y be a real algebraic subset of and be a polynomial map. We show that there exist real polynomial functions on such that the Euler characteristic of fibres of is the sum of signs of .
On families of trajectories of an analytic gradient vector field
For an analytic function f:ℝⁿ,0 → ℝ,0 having a critical point at the origin, we describe the topological properties of the partition of the family of trajectories of the gradient equation ẋ = ∇f(x) attracted by the origin, given by characteristic exponents and asymptotic critical values.
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