The observable structure of persistence modules
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Publication:505361
DOI10.4310/HHA.2016.v18.n2.a14zbMath1377.55015arXiv1405.5644WikidataQ59891226 ScholiaQ59891226MaRDI QIDQ505361
William Crawley-Boevey, Vin De Silva, Fréderic Chazal
Publication date: 20 January 2017
Published in: Homology, Homotopy and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.5644
Related Items (18)
Higher Interpolation and Extension for Persistence Modules ⋮ A counter-example to Hausmann's conjecture ⋮ Footprints of geodesics in persistent homology ⋮ A framework for differential calculus on persistence barcodes ⋮ Ephemeral persistence modules and distance comparison ⋮ Universality of the homotopy interleaving distance ⋮ Decomposition of pointwise finite-dimensional 𝕊1 persistence modules ⋮ Connectedness and Lusternik-Schnirelmann categories of the spaces of persistence modules ⋮ Multidimensional persistence and noise ⋮ Signatures, Lipschitz-Free Spaces, and Paths of Persistence Diagrams ⋮ Critical edges in Rips complexes and persistence ⋮ An approximate nerve theorem ⋮ 1-Dimensional intrinsic persistence of geodesic spaces ⋮ A derived isometry theorem for sheaves ⋮ Topological spaces of persistence modules and their properties ⋮ On Vietoris–Rips complexes of ellipses ⋮ Contractions in persistence and metric graphs ⋮ The theory of the interleaving distance on multidimensional persistence modules
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