Friday, March 25, 2022
Topology is the study of shape. During this project a bridge will be built between the continuous, infinite world of shapes and the combinatorial, finite domain of graphs (networks). To each shape will be associated a sequence of `1-skeletons' which are graphs. By employing recent developments in graph theory these skeletons will be put to work (`made to dance') both as a theoretical tool in topology, but also as a practical tool to understand shapes as they arise in the real-world in the form of data.