Homotopical decompositions of simplicial and Vietoris Rips complexes
From MaRDI portal
Publication:2240094
DOI10.1007/s41468-021-00066-2zbMath1485.55007arXiv2002.03409OpenAlexW3159055394MaRDI QIDQ2240094
Martina Scolamiero, Alvin Jin, Francesca Tombari, Wojciech Chachólski
Publication date: 5 November 2021
Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.03409
Persistent homology and applications, topological data analysis (55N31) Simplicial sets and complexes in algebraic topology (55U10) Topological data analysis (62R40)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nerve complexes of circular arcs
- Clique complexes and graph powers
- An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere
- Simplicial sets from categories
- Multidimensional persistence and noise
- Cellular spaces, null spaces and homotopy localization
- On homotopy types of Vietoris-Rips complexes of metric gluings
- The Vietoris-Rips complexes of a circle
- Topology and data
- Metrics and Stabilization in One Parameter Persistence
- Metric graph reconstruction from noisy data
- Small Flag Complexes with Torsion
- PERSISTENCE BARCODES FOR SHAPES
- Statistical topological data analysis using persistence landscapes
- Simplicial homotopy theory
- Size functions from a categorical viewpoint
This page was built for publication: Homotopical decompositions of simplicial and Vietoris Rips complexes