| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661483 | Topology and its Applications | 2006 | 24 Pages |
Abstract
We extend Matveev's theory of complexity for 3-manifolds, based on simple spines, to (closed, orientable, locally orientable) 3-orbifolds. We prove naturality and finiteness for irreducible 3-orbifolds, and, with certain restrictions and subtleties, additivity under orbifold connected sum. We also develop the theory of handle decompositions for 3-orbifolds and the corresponding theory of normal 2-suborbifolds.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
