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We compare the topology of the link $$L_0$$ L 0 of non-isolated singularities defined by real analytic map-germs $$({\mathbb {R}}^m,0) \buildrel {h} \over {\rightarrow } ({\mathbb {R}}^n,0)$$ ( R m , 0 ) → h ( R n , 0 ) , $$m > n$$ m > n , with that of the boundary of a local non-critical level of h. We show that if the germ of h has an isolated critical value...
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