| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6424615 | Topology and its Applications | 2015 | 9 Pages |
Abstract
A neighborhood homotopy is an equivalence relation on spatial graphs which is generated by crossing changes on the same component and neighborhood equivalence. We give a complete classification of all 2-component spatial graphs up to neighborhood homotopy by the elementary divisor of a linking matrix with respect to the first homology group of each of the connected components. This also leads a kind of homotopy classification of 2-component handlebody-links.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Atsuhiko Mizusawa, Ryo Nikkuni,