2 papers
math.CO2023
On Vietoris-Rips complexes of Finite Metric Spaces with Scale
Ziqin Feng, Naga Chandra Padmini Nukala
We examine the homotopy types of Vietoris-Rips complexes on certain finite metric spaces at scale . We consider the collections of subsets of equipped…
math.GN2021
Sub-posets in and the Strong Pytkeev Property
Ziqin Feng, Naga Chandra Padmini Nukala
Tukey order are used to compare the cofinal complexity of partially order sets (posets). We prove that there is a -sized collection of sub-posets in which for…