1. Understanding the topology and the geometry of the space of persistence diagrams via optimal partial transport

   • Vincent Divol
   • Théo Lacombe

   OriginalPaper 24 October 2020 Pages: 1 - 53

   

2. Another look at recovering local homology from samples of stratified sets

   • Yuriy Mileyko

   OriginalPaper 24 November 2020 Pages: 55 - 97

   

3. Probabilistic convergence and stability of random mapper graphs

   • Adam Brown
   • Omer Bobrowski
   • Bei Wang

   OriginalPaper Open access 17 December 2020 Pages: 99 - 140

   

4. Geodesic complexity of motion planning

   • David Recio-Mitter

   OriginalPaper 12 January 2021 Pages: 141 - 178