| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659414 | Topology and its Applications | 2012 | 19 Pages |
Abstract
We introduce the notion of a d-simplicial complex — a directed analogue of a simplicial complex. Then we construct a pre-cubical model for the space of paths between two vertices of a finite d-simplicial complex K. Next, we prove that (if K has no directed loops) this model is actually homotopy equivalent to the space of paths.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
