Triangulation and persistence: Algebra 101
Algebraic Topology
2021-04-27 v1 Algebraic Geometry
Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.2104.12258,
title = {Triangulation and persistence: Algebra 101},
author = {Paul Biran and Octav Cornea and Jun Zhang},
journal= {arXiv preprint arXiv:2104.12258},
year = {2021}
}