Title of article
Products of hopfian manifolds and codimension-2 fibrators
Author/Authors
Daverman، نويسنده , , Robert J. and Im، نويسنده , , Young Ho and Kim، نويسنده , , Yongkuk، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2000
Pages
16
From page
323
To page
338
Abstract
We describe several conditions under which the product of hopfian manifolds is another hopfian manifold. As applications, the product F×A of a closed hopfian n-manifold F and a closed orientable aspherical m-manifold A is hopfian when either π1(F) is solvable and χ(A)≠0 or π1(F) is finite. Also, the product of any rational homology n-sphere Σn for which π1(Σn) is finite and a closed orientable n-manifold N with πi(N)=0 for 1<i<n−1 is hopfian. Using such facts we investigate conditions under which products of codimension-2 (orientable) fibrators are again codimension-2 (orientable) fibrators.
Keywords
Codimension-2 fibrator , Approximate fibration , Hopfian manifold , Hyperhopfian group , Degree one mod 2 map , Continuity set
Journal title
Topology and its Applications
Serial Year
2000
Journal title
Topology and its Applications
Record number
1579579
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