Piecewise Linear Sheaves

DOI10.1093/imrn/rnz145zbMath1494.55010arXiv1805.00349OpenAlexW2966420515WikidataQ127551046 ScholiaQ127551046MaRDI QIDQ5068189

Masaki Kashiwara, Pierre Schapira

Publication date: 5 April 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.00349

zbMATH Keywords

microsupportbottleneck distance\(\gamma\)-topologypiecewise linear sheaves

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31)

Related Items (3)

Ephemeral persistence modules and distance comparison ⋮ Stratifications of real vector spaces from constructible sheaves with conical microsupport ⋮ Constructible sheaves and functions up to infinity

Cites Work

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• Stability of persistence diagrams
• A derived isometry theorem for sheaves
• Persistent homology and microlocal sheaf theory
• The theory of the interleaving distance on multidimensional persistence modules
• Construction of sheaves on the subanalytic site
• The Structure and Stability of Persistence Modules
• Decomposition of pointwise finite-dimensional persistence modules
• Proximity of persistence modules and their diagrams
• Barcodes: The persistent topology of data

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