Stratifications on the Ran Space

Order 2022
Jānis Lazovskis

We describe a partial order on finite simplicial complexes. This partial order provides a poset stratification of the product of the Ran space of a metric space and the nonnegative real numbers, through the Čech simplicial complex. We show that paths in this product space respecting its stratification induce simplicial maps between the endpoints of the path.

DOI
10.1007/s11083-021-09568-1
Hyperlink
https://link.springer.com/article/10.1007/s11083-021-09568-1

Lazovskis, J. Stratifications on the Ran Space. Order, 2022, Vol. 39, No. 1, pp.143-158. ISSN 0167-8094. e-ISSN 1572-9273. Available from: doi:10.1007/s11083-021-09568-1

Publication language
English (en)