Cover Image

Discrete Level Set Persistence for Finite Discrete Functions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Belton, Robin, Essl, Georg
Format:	Preprint
Published:	2025
Subjects:	Algebraic Topology Computational Geometry Discrete Mathematics 55N31 (Primary) 05C90, 37M10 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Estimation of Persistence Diagrams via the Three Gap Theorem
by: Salas, Luis Suarez, et al.
Published: (2026)

Improving Topological Detection of Weather Regimes in climate dynamical systems
by: Anbouhi, Soheil
Published: (2026)

It's All About Covers: Persistent Homology of Cover Refinements
by: Leitão, António
Published: (2026)

Persistent homology of function spaces
by: Block, Jonathan, et al.
Published: (2025)

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

Persistence K-theory
by: Biran, Paul, et al.
Published: (2023)

Triangulation, Persistence, and Fukaya categories
by: Biran, Paul, et al.
Published: (2023)

Exact multi-parameter persistent homology of time-series data: Fast and variable topological inferences
by: Kim, Keunsu, et al.
Published: (2022)

Asymmetrically Weighted Dowker Persistence and Applications in Dynamical Systems
by: Timofeyev, Tobias, et al.
Published: (2026)

Universal Distances for Extended Persistence
by: Bauer, Ulrich, et al.
Published: (2020)

On cycles and merge trees
by: Brüggemann, Julian, et al.
Published: (2023)

Persistent magnitude homology on finite metric space
by: Bi, Wanying, et al.
Published: (2026)

Elementary Methods for Persistent Homotopy Groups
by: Adams, Henry, et al.
Published: (2019)

A Unified View on the Functorial Nerve Theorem and its Variations
by: Bauer, Ulrich, et al.
Published: (2022)

Computing singular simplicial homologies of digraphs and quivers
by: Burfitt, Matthew, et al.
Published: (2025)

Topological Stability and Latschev-type Reconstruction Theorems for Spaces of Curvature Bounded Above
by: Komendarczyk, Rafal, et al.
Published: (2024)

From Persistence to Resilience: New Betti Numbers for Analyzing Robustness in Simplicial Complex Networks
by: Hernández-García, Pablo, et al.
Published: (2025)

Approximability for Lagrangian submanifolds
by: Ambrosioni, Giovanni, et al.
Published: (2026)

Morse theory for chromatic Delaunay triangulations
by: Natarajan, Abhinav, et al.
Published: (2024)

Discrete Microlocal Morse Theory
by: Brown, Adam, et al.
Published: (2022)

On the Vietoris-Rips Complexes of Integer Lattices
by: Gupta, Raju Kumar, et al.
Published: (2025)

Approximate and discrete Euclidean vector bundles
by: Scoccola, Luis, et al.
Published: (2021)

Stability of 0-dimensional persistent homology in enriched and sparsified point clouds
by: Lazovskis, Jānis, et al.
Published: (2025)

Highly divisible cycles in homological Atiyah-Hirzebruch spectral sequences
by: Rozhdestvenskii, Vasilii
Published: (2025)

Persistent Homology of Time Series through Complex Networks
by: Güzel, İsmail
Published: (2026)

Decomposition of Persistent Homology and Spectral Sequences
by: Yang, Peiqi, et al.
Published: (2024)

Braiding vineyards
by: Chambers, Erin, et al.
Published: (2025)

Bipath Persistence as Zigzag Persistence
by: Alonso, Ángel Javier, et al.
Published: (2024)

Smith-Gysin Sequence
by: Prieto, J. I. Royo, et al.
Published: (2023)

Duality for Cohen--Macaulay Complexes through Combinatorial Sheaves
by: Wade, Richard D., et al.
Published: (2024)

Persistent Khovanov homology of tangles
by: Liu, Jian, et al.
Published: (2024)

A theory of twisted umkehr maps
by: Lahtinen, Anssi
Published: (2026)

On linear-combinatorial problems associated with subspaces spanned by $\{\pm 1\}$-vectors
by: Irmatov, Anwar A.
Published: (2024)

Topology as a Language for Emergent Organization in Complex Systems: Multiscale Structure, Higher-Order Interactions, and Early Warning Signals
by: Bailey, Mark M.
Published: (2026)

Lifespan Functors and Natural Dualities in Persistent Homology
by: Bauer, Ulrich, et al.
Published: (2020)

The cohomology rings of smooth toric varieties and quotients of moment-angle complexes
by: Franz, Matthias
Published: (2019)

On distributional one-category, diagonal distributional complexity, and related invariants
by: Jauhari, Ekansh, et al.
Published: (2025)

Super-Polynomial Growth of the Generalized Persistence Diagram
by: Kim, Donghan, et al.
Published: (2024)

Homotopy, homology, and persistent homology using closure spaces
by: Bubenik, Peter, et al.
Published: (2021)

Persistent Homology via Finite Topological Spaces
by: Kayacan, Selçuk
Published: (2025)