Homology n-spheres as codimension-(n+1) shape msimpl-fibrators
- 作者：Violeta Vasilevska
- 关键词：Approximate fibration ; Shape msimpl(o)-fibrator ; Hopfian manifold ; Manifold homotopically determined by none ; color ; black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V1K-4S094TY-1&_mathId=mm
- 刊名：Topology and its Applications
- 出版年：2008
- 期刊代码：60_01668641
- 类别：mt
- 出版时间：1 May 2008
- 卷：155
- 期：10
- 页码：1140-1148
- 文件大小：150 K
摘要
This paper identifies a class of homology n-spheres that are codimension-(n+1) shape msimpl-fibrators but are not shape msimpl-fibrators (a concept introduced by the author). Actually, the main result (Theorem 4.4) provides more general description of n-manifolds that are codimension-(k+1) shape msimpl-fibrators for 2
kn. It establishes that any closed orientable PL n-manifold homotopically determined by π1, with Hopfian fundamental group and Hi(N)=0 for 0<i<kn, where k
2, is a codimension-(k+1) shape msimpl-fibrator.
kn. It establishes that any closed orientable PL n-manifold homotopically determined by π1, with Hopfian fundamental group and Hi(N)=0 for 0<i<kn, where k2, is a codimension-(k+1) shape msimpl-fibrator.