A cubical model for path spaces in d-simplicial complexes

作者：Ziemianski Krzysztof^*

来源：Topology and Its Applications, 2012, 159(8): 2127-2145.

DOI：10.1016/j.topol.2012.02.005

• Directed space
• Simplicial complex
• Path space

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.

• 出版日期2012-5-15