Showing math.ATShow all
2 papers · 1 filter
math.AT2025
Interval-sphere model structures
Kathryn Hess, Samuel Lavenir, Kelly Maggs
The bedrock of persistence theory over a single parameter is decomposition of persistence modules into intervals. In [HLM24], the authors leveraged interval decomposition to produc…
math.AT2025
Cell decompositions of persistent minimal models
Kathryn Hess, Samuel Lavenir, Kelly Maggs
In this article we generalize the main structure theorems of rational homotopy theory to the persistent setting. Our main motivation is the computation of an explicit finite, cellu…