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math.SG2024
Persistence K-theory
Paul Biran, Octav Cornea, Jun Zhang
This paper studies the basic K-theoretic properties of a triangulated persistence category (TPC). This notion was introduced in our earlier papers on triangulation, persistence, an…
math.SG2024
Triangulation, Persistence, and Fukaya categories
Paul Biran, Octav Cornea, Jun Zhang
This paper introduces a new algebraic notion - triangulated persistence category (TPC) - that refines that of triangulated category in the same sense that a persistence module is a…