Stratifications on the Ran Space

Janis Lazovskis* (Corresponding Author)

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Number of pages16
Early online date11 Jun 2021
Publication statusE-pub ahead of print - 11 Jun 2021


  • Stratifications
  • Simplicial complexes
  • Configuration space
  • Entrance path


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