Sheaf and Duality Methods for Analyzing Multi-Model Systems

DOI10.1007/978-3-319-55556-0_8zbMath1404.93004arXiv1604.04647OpenAlexW2547359569MaRDI QIDQ4562654

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Publication date: 17 December 2018

Published in: Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.04647

Mathematics Subject Classification ID

Sheaf cohomology in algebraic topology (55N30) Applications of design theory to circuits and networks (94C30) General theory of categories and functors (18A99) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

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Uses Software

• GitHub
• PySheaf

Cites Work

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• Discrete Morse theory for computing cellular sheaf cohomology
• Topological signal processing
• Imaging geometric graphs using internal measurements
• Galois connections and the Leray spectral sequence
• A Sheaf-Theoretic Perspective on Sampling
• Sheaves and Differential Equations
• Finite element exterior calculus, homological techniques, and applications
• Finite element exterior calculus: from Hodge theory to numerical stability
• Category-valued sheaves
• Overdetermined systems of linear partial differential equations

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