On trajectories of analytic gradient vector fields

[摘要] Let f : R,0 --> R,0 be an analytic function defined in a neighbourhood of the origin, having a critical point at 0. We show that the set of non-trivial trajectories of the equation x = delf(x) attracted by the origin has the same Cech-Alexander cohomology groups as the real Milnor fibre of f. (C) 2002 Elsevier Science (USA).

[发布日期] 2002-09-01