2 papers
math.AT2025
Filtered Topology and Persistence in Stable Homotopy
John Miller
We define a category of filtered topological spaces and explore some of its homotopy theoretic properties, including a filtered analogue of CW approximation. With this, we define a…
math.SG2025
Idempotent Completion of Persistence Categories
John Miller
This paper studies how persistence categories and triangulated persistence categories behave with respect to taking idempotent completions. In particular we study whether the idemp…