Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904204 | Topology and its Applications | 2018 | 11 Pages |
Abstract
By means of the technique of Stein factorization we introduce and study certain special generic maps of homotopy spheres into Euclidean spaces called standard. Modifying a construction due to Weiss, we show that standard special generic maps give naturally rise to a filtration of the group of homotopy spheres by subgroups that is strongly related to the Gromoll filtration. Finally, we apply our result to some concrete homotopy spheres, which in particular answers Saeki's problem for the Milnor 7-sphere.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Dominik J. Wrazidlo,