Classification of Constructible Cosheaves
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Publication:3294964
zbMath1442.32039arXiv1603.01587MaRDI QIDQ3294964
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Publication date: 29 June 2020
Full work available at URL: https://arxiv.org/abs/1603.01587
Persistent homology and applications, topological data analysis (55N31) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)
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The fiber of persistent homology for simplicial complexes ⋮ Edit Distance and Persistence Diagrams over Lattices ⋮ Dualities between cellular sheaves and cosheaves ⋮ 𝐾-theory of multiparameter persistence modules: Additivity ⋮ Moduli spaces of Morse functions for persistence ⋮ Geodesic complexity of motion planning ⋮ Persistent local systems ⋮ Generalized persistence diagrams for persistence modules over posets ⋮ The fiber of the persistence map for functions on the interval
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