Article ID Journal Published Year Pages File Type
4658132 Topology and its Applications 2016 9 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
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