Geodesic
Hopfian and strongly hopfian manifolds
Fundamenta Mathematicae, Tome 159 (1999) no. 2, pp. 127-134.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let p: M → B be a proper surjective map defined on an (n+2)-manifold such that each point-preimage is a copy of a hopfian n-manifold. Then we show that p is an approximate fibration over some dense open subset O of the mod 2 continuity set C' and C' ∖ O is locally finite. As an application, we show that a hopfian n-manifold N is a codimension-2 fibrator if χ(N) ≠ 0 or $H_1(N) ≅ ℤ_2$
DOI : 10.4064/fm-159-2-127-134

Young Ho Im 1 ; Yongkuk Kim 1

1 
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Young Ho Im; Yongkuk Kim. Hopfian and strongly hopfian manifolds. Fundamenta Mathematicae, Tome 159 (1999) no. 2, pp. 127-134. doi : 10.4064/fm-159-2-127-134. http://geodesic.mathdoc.fr/articles/10.4064/fm-159-2-127-134/

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