Metric thickenings and group actions
DOI10.1142/S1793525320500569zbMath1501.55016arXiv1911.00732OpenAlexW3098571897MaRDI QIDQ5038986
Chris Peterson, Mark Heim, Henry Adams
Publication date: 9 October 2022
Published in: Journal of Topology and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.00732
homotopy typeorbit spacepersistent homologyVietoris-Rips complexisometric group actionmetric thickening
Geometric group theory (20F65) Homotopy equivalences in algebraic topology (55P10) Metric spaces, metrizability (54E35) Simplicial sets and complexes in algebraic topology (55U10) Combinatorial aspects of simplicial complexes (05E45)
Related Items (2)
Cites Work
- Unnamed Item
- 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
- Persistence stability for geometric complexes
- Random geometric complexes
- On the Kantorovich-Rubinstein theorem
- Approximations of 1-dimensional intrinsic persistence of geodesic spaces and their stability
- The filling radius of two-point homogeneous spaces
- Uniform universal covers of uniform spaces
- Algebraic topology
- Filling Riemannian manifolds
- Triangulation of stratified fibre bundles
- Topology of random geometric complexes: a survey
- A complete characterization of the one-dimensional intrinsic Čech persistence diagrams for metric graphs
- On homotopy types of Vietoris-Rips complexes of metric gluings
- Reeb posets and tree approximations
- The Vietoris-Rips complexes of a circle
- Rips complexes as nerves and a functorial Dowker-nerve diagram
- Rips complexes and covers in the uniform category
- Duality theorems for marginal problems
- Towards persistence-based reconstruction in euclidean spaces
- On neighborhoods of the Kuratowski imbedding beyond the first extremum of the diameter functional
- Metric Reconstruction Via Optimal Transport
- Geometric Aspects of General Topology
- METRIC THICKENINGS, BORSUK–ULAM THEOREMS, AND ORBITOPES
- Triangulation of Fibre Bundles
- On the imbedding of systems of compacta in simplicial complexes
- Optimal Transport
- Vietoris-Rips complexes of metric spaces near a closed Riemannian manifold
This page was built for publication: Metric thickenings and group actions