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Topologically $$\infty$$-determined map germs are topologically cone-like. (English) Zbl 0647.58013
T. Fukuda [Invent. Math. 65, 227-250 (1981; Zbl 0499.58008) and Tokyo J. Math. 8, 501-520 (1985; Zbl 0599.58010)] proved a theorem on the cone-like structure of almost every differential map germ. Here, a similar theorem is proved for the space of mappings with a prescribed infinite jet.
Reviewer: S.V.Duzhin

MSC:
 58D15 Manifolds of mappings 58A20 Jets in global analysis 57R35 Differentiable mappings in differential topology
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References:
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