Rips complexes as nerves and a functorial Dowker-nerve diagram
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Publication:2657255
DOI10.1007/s00009-021-01699-4zbMath1459.05361arXiv1906.04028OpenAlexW3130712039MaRDI QIDQ2657255
Publication date: 12 March 2021
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.04028
Geometric structures on manifolds of high or arbitrary dimension (57N16) Simplicial sets and complexes in algebraic topology (55U10) Algebraic topology of manifolds (57N65) Abstract complexes in algebraic topology (55U05) Combinatorial aspects of simplicial complexes (05E45)
Related Items (18)
Cosheaf representations of relations and Dowker complexes ⋮ Metric thickenings and group actions ⋮ A counter-example to Hausmann's conjecture ⋮ The Persistent Homology of Cyclic Graphs ⋮ Footprints of geodesics in persistent homology ⋮ On Vietoris-Rips complexes of hypercube graphs ⋮ Reconstruction properties of selective Rips complexes ⋮ Determining homology of an unknown space from a sample ⋮ Operations on Metric Thickenings ⋮ The rectangle complex of a relation ⋮ The persistent topology of optimal transport based metric thickenings ⋮ Rigidity of terminal simplices in persistent homology ⋮ Critical edges in Rips complexes and persistence ⋮ A unified view on the functorial nerve theorem and its variations ⋮ Vietoris thickenings and complexes have isomorphic homotopy groups ⋮ Lower bounds on the homology of Vietoris-Rips complexes of hypercube graphs ⋮ Contractions in persistence and metric graphs ⋮ Relative persistent homology
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