arXiv:2104.12258 Abstract | arXiv Analytics

arXiv:2104.12258 [math.AT]Abstract References Reviews Resources

Triangulation and persistence: Algebra 101

Published 2021-04-25Version 1

This paper lays the foundations of triangulated persistence categories (TPC), which brings together persistence modules with the theory of triangulated categories. As a result we introduce several measurements and metrics on the set of objects of some triangulated categories. We also provide examples of TPCs coming from algebra, algebraic topology, microlocal sheaf theory and symplectic topology.

Categories: math.AT, math.AG, math.SG

Subjects: 55N31, 53D12, 35A27

Keywords: triangulation, microlocal sheaf theory, triangulated categories, symplectic topology, persistence modules

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