2025/03/26 by John C. Miller, Miller, John
Computer Science · #Machine Learning and Data Classification #Data Stream Mining Techniques #Advanced Algebra and Logic
paper · pdf · doi:10.48550/arxiv.2503.20603
This paper studies how persistence categories and triangulated persistence categories behave with respect to taking idempotent completions. In particular we study whether the idempotent completion (i.e. Karoubi envelope) of categories admitting persistence refinement also admits such a refinement. In doing so, we introduce notions of persistence semi-categories and persistent presheaves and explore their properties.