Topological Invariants of Real Milnor Fibres
نویسنده
چکیده
Let F : (R,0)→(R,0) and g : (R,0)→R be analytic germs, let Br ⊂ R be a closed ball of small radius centred at the origin, and let Wz = F −1(z) ∩ Br. Let λ(g;Wz) = ∑ p(−1), where λ(p) is the Morse index at a critical point p of a Morse function which approximates g|Wz. For F and g satisfying some natural assumptions, we shall show that there is a finite family of analytic germs θi(z) such that λ(g;Wz) = ∑ sgn θi(z) for a generic regular value z.
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