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An assignment to a sheaf is the choice of a local section from each open set in the sheaf's base space, without regard to how these local sections are related to one another.
A cellular description of the derived category of a stratified space
Allen Shepard · 1985
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Sheaf semantics for concurrent interacting objects
Joseph A Goguen · 1992
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Sheaf semantics for Petri nets
J. Lilius · 1993
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Topological persistence and simplification
H. Edelsbrunner, D. Letscher, and A. Zomorodian · 2000
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Topology of singular spaces and constructible sheaves , volume 63
J. Schürmann · 2003
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Topological estimation using witness complexes
V. de Silva and G. Carlsson · 2004
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Computing persistent homology
A. Zomorodian and G. Carlsson · 2005
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Teichmüller Theory, volume 1
John H. Hubbard · 2006
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Barcodes: the persistent topology of data
R. Ghrist · 2008
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Sheaves, objects, and distributed systems
Grant Malcolm · 2008
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The sheaf-theoretic structure of non-locality and contextuality
Samson Abramsky and Adam Brandenburger · 2011
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Network codings and sheaf cohomology
Robert Ghrist and Yasuaki Hiraoka · 2011
Cited alongside, same era.
Asynchronous logic circuits and sheaf obstructions
Michael Robinson · 2012
Cited alongside, same era.
Sheaves, Cosheaves and Applications, arXiv:1303.3255
J. Curry · 2013
Cited alongside, same era.
A topological max-flow-min-cut theorem
Robert Ghrist and Sanjeevi Krishnan · 2013
Cited alongside, same era.
Induced matchings of barcodes and the algebraic stability of persistence
Ulrich Bauer and Michael Lesnick · 2014
Cited alongside, same era.
Analyzing wireless communication network vulnerability with homological invariants
Michael Robinson · 2014
Cited alongside, same era.
On beyond graphs: Multidimensional graph structures for the data sciences
Cliff Joslyn · 2016
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Combinatorial models for heterogeneous system composition and analysis
Saigopal Nelaturi, Johan de Kleer, and Vadim Shapiro · 2016
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Maximal sections of sheaves of data over an abstract simplicial complex, arxiv:1612.00397
Brenda Praggastis · 2016
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Sheaves are the canonical datastructure for information integration
Michael Robinson · 2016
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Computations for local and pseudo sections in real-world sheaves
Cliff Joslyn, Kathleen Nowak, Brenda Praggastis, Emilie Purvine, and Michael Robinson · 2017
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Contextuality, cohomology and paradox, arxiv:1502.03097
Samson Abramsky, Rui Soares Barbosa, Kohei Kishida, Raymond Lal, and Shane Mansfield · 2015
Cited alongside, same era.
Tracking before detection using partially ordered sets and optimization
Michael Robinson · 2015
Cited alongside, same era.
Pseudosections of sheaves with consistency structures
Michael Robinson · 2015
Cited alongside, same era.
Imaging geometric graphs using internal measurements
Michael Robinson · 2015
Cited alongside, same era.
Discrete Morse theory for computing cellular sheaf cohomology
Justin Curry, Robert Ghrist, and Vidit Nanda · 2016
Cited alongside, same era.
Topological Signal Processing
Michael Robinson
Cited in the paper.
Seyed Mansourbeigi · 2017
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Sheaf cohomology on network codings: maxflow-mincut theorem
Miradain Atontsa Nguemo and Calvin Tcheka · 2017
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Sheaf theory as a mathematical foundation for distributed applications involving heterogeneous data sets
Seyed MH Mansourbeigi · 2018
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Wlodek Zadrozny and Luciana Garbayo · 2018
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A comparison framework for interleaved persistence modules
Shaun Harker, Miroslav Kramár, Rachel Levanger, and Konstantin Mischaikow · 2019
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