Čech, Vietoris-Rips, Delaunay and Alpha complexes [Francesca Tombari]

This tutorial aims to introduce four types of simplicial complexes arising from metric spaces. It is mostly meant to build intuition on possible similarities and differences between these complexes. For this reason, instead of presenting the topic in its full generality, very simple examples and pictures are shown and compared.
This tutorial was contributed as part of the WinCompTop+AATRN Tutorial-a-thon in Spring 2021: sites.google.c...

[@Axel-zz5ox]

I was struggling with the difference between Čech complexes and Alpha complexes, but now I understand clearly because of your nice example with the equilateral triangles . Thank you!!!

[@aatrn1]

Glad to hear Francesca's video helped!

[@meganchambers8108]

Thank you!!!

[@niloofarjazayeri972]

Thanks for sharing this, I was wondering if you had shared your slides anywhere?

[@francescatombari1590]

Unfortunately not, they were meant as informal notes just for this tutorial