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Strongly hopfian manifolds as codimension-2 fibrators

✍ Scribed by Kim Yongkuk

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 613 KB
Volume: 92
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(97)00251-4

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✦ Synopsis

If a closed n-manifold N has a 2-l covering, we consider the covering space E of N corresponding to H, where H is the intersection of all subgroups H, of index 2 in ~1 (N), i.e., H = n,,, Hi with [T,(N) : Hi] = 2 for i E I. We will show that if nt(N) is residually finite, x(N) # 0, and fi is hopfian, then N is a codimension-2 fibrator. And then, we will also get several results about codimension-2 fibrators as its corollaries.

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