Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658132 | Topology and its Applications | 2016 | 9 Pages |
Abstract
We consider an embedding of a 2-dimensional CW complex into the 3-sphere, and construct its dual graph. Then we obtain a homogeneous system of linear equations from the 2-dimensional CW complex in the first homology group of the complement of the dual graph. By checking that the homogeneous system of linear equations does not have an integral solution, we show that some 2-dimensional CW complexes cannot be embedded into the 3-sphere.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Kazufumi Eto, Shosaku Matsuzaki, Makoto Ozawa,