Cover Image

On the Hausdorff stability of barcodes over posets

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ali, Mujtaba, Needham, Tom, Stefanou, Anastasios, Zhou, Ling
Format:	Preprint
Published:	2026
Subjects:	Algebraic Topology
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Persistent Homology for Labeled Datasets: Gromov-Hausdorff Stability and Generalized Landscapes
by: Fu, Yaoying, et al.
Published: (2025)

On stratifications and poset-stratified spaces
by: Waas, Lukas, et al.
Published: (2024)

Equivalence of Landscape and Erosion Distances for Persistence Diagrams
by: Ayhan, Cagatay, et al.
Published: (2025)

Cross effects for functors from posets
by: Hem, Bjørnar Gullikstad
Published: (2026)

Cofiltrations of spanning trees in multiparameter persistent homology
by: Grimpen, Fritz, et al.
Published: (2023)

Interleaving Distances, Monoidal Actions and 2-Categories
by: McFaddin, Patrick K., et al.
Published: (2023)

Stability of the persistence transformation
by: Klaila, Gideon, et al.
Published: (2023)

Gromov-Hausdorff Distance for Directed Spaces
by: Fajstrup, Lisbeth, et al.
Published: (2024)

A Minimal Non Hausdorff Counterexample in Covering Space Theory
by: Sripat, Abhiram
Published: (2025)

Hausdorff vs Gromov-Hausdorff distances
by: Adams, Henry, et al.
Published: (2023)

Stratifying the space of barcodes using Coxeter complexes
by: Brück, Benjamin, et al.
Published: (2021)

Lie-operads and operadic modules from poset cohomology
by: Delcroix-Oger, Bérénice, et al.
Published: (2025)

Modular flats of oriented matroids and poset quasi-fibrations
by: Mücksch, Paul
Published: (2022)

Strong relations between discrete surfaces, poset-based connected manifolds, and normal pseudomanifolds
by: Boutry, Nicolas
Published: (2025)

Non-Hausdorff manifolds over locally ordered spaces via sheaf theory
by: Chamoun, Yorgo, et al.
Published: (2025)

Double, über and poset homology
by: Ruiz, Carlos Gabriel Valenzuela
Published: (2025)

Computation of $γ$-linear projected barcodes for multiparameter persistence
by: Fernandes, Alex, et al.
Published: (2024)

Foundations of Differential Calculus for modules over posets
by: Brodzki, Jacek, et al.
Published: (2023)

Quillen-McCord theorem for persistence finite posets
by: Guzeev, Vitalii, et al.
Published: (2026)

Integration of the Baker-Campbell-Hausdorff product
by: Fuentes, Mario
Published: (2024)

Disordered arcs and Harer stability
by: Harr, Oscar, et al.
Published: (2022)

Koszul complexes and relative homological algebra of functors over posets
by: Chacholski, Wojciech, et al.
Published: (2022)

Simplicial Hausdorff Distance for Topological Data Analysis
by: Nnadi, Nkechi, et al.
Published: (2025)

Homological stability: a tool for computations
by: Wahl, Nathalie
Published: (2022)

Persistent cohomology operations and Gromov-Hausdorff estimates
by: Medina-Mardones, Anibal M., et al.
Published: (2025)

On the stabilization of the topological complexity of graph braid groups
by: Knudsen, Ben
Published: (2023)

On the existence of Parseval frames for vector bundles
by: Ballas, Samuel A., et al.
Published: (2023)

Combinatorial Topological Models for Phylogenetic Networks and the Mergegram Invariant
by: Dłotko, Paweł, et al.
Published: (2023)

Doughnut or Mickey Mouse? Detecting Toroidal Structure in Data through Persistent Cup-Length
by: Ivshina, Ekaterina S., et al.
Published: (2025)

Invariable generation of finite simple groups and rational homology of coset posets
by: Guralnick, Robert M., et al.
Published: (2023)

The algebraic stability for persistent Laplacians
by: Liu, Jian, et al.
Published: (2023)

Homological stability for generalized Hurwitz spaces and Selmer groups in quadratic twist families over function fields
by: Ellenberg, Jordan S., et al.
Published: (2023)

Spaces over BO are thickened manifolds
by: Tanaka, Hiro Lee
Published: (2023)

A chromatic approach to homological stability
by: Randal-Williams, Oscar
Published: (2025)

$\mathbb{E}_{\infty}$-coalgebras and $p$-adic homotopy theory
by: Bachmann, Tom, et al.
Published: (2024)

Monadic resolutions for generalized spaces
by: Bachmann, Tom, et al.
Published: (2025)

On the Classification of $S^3$-Bundles over $\mathbb{C}P^2$
by: Liu, Wancheng
Published: (2025)

Sphere bundles over $4$-manifolds are trivial after looping
by: Huang, Ruizhi
Published: (2022)

Periodic Cyclic Homology over Q
by: Bals, Konrad
Published: (2023)

Stability and Approximations for Decorated Reeb Spaces
by: Curry, Justin, et al.
Published: (2023)