Stratifications of real vector spaces from constructible sheaves with conical microsupport

DOI10.1007/s41468-023-00112-1zbMath1527.32026arXiv2008.00091OpenAlexW3046232371MaRDI QIDQ6074053

Ezra Miller

Publication date: 18 September 2023

Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.00091

zbMATH Keywords

syzygy theoremmultiparameter persistent homologyconic topologysubanalytic constructible sheaftame poset module

Mathematics Subject Classification ID

Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Semi-analytic sets, subanalytic sets, and generalizations (32B20)

Related Items (2)

Global dimension of real-exponent polynomial rings ⋮ Persistence and the Sheaf-Function Correspondence

Cites Work

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• On graded rings. II: \(\mathbb{Z}\)-graded rings
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• A refinement of multi-dimensional persistence
• Ephemeral persistence modules and distance comparison
• Fruit Flies and Moduli: Interactions between Biology and Mathematics
• Decomposition of pointwise finite-dimensional persistence modules
• Piecewise Linear Sheaves

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