Hopfian and strongly hopfian manifolds
Im, Young ; Kim, Yongkuk
Fundamenta Mathematicae, Tome 159 (1999), p. 127-134 / Harvested from The Polish Digital Mathematics Library
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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 H1(N)≅ℤ2

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:212324 
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     title = {Hopfian and strongly hopfian manifolds},
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     volume = {159},
     year = {1999},
     pages = {127-134},
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Im, Young; Kim, Yongkuk. Hopfian and strongly hopfian manifolds. Fundamenta Mathematicae, Tome 159 (1999) pp. 127-134. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv159i2p127bwm/

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