Vietoris-Rips complexes of metric spaces near a closed Riemannian manifold

By J. Latschev. 2001

131 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/75090697ec9958805c2f0f080dc0e7fc3c6febb4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Frédéric Chazal
2. Vin de Silva
3. Steve Y. Oudot

In Applied Mathematics

1. Steve Y. Oudot
2. Frédéric Chazal

In Mathematical Physics

1. Frédéric Chazal
2. Vin de Silva
3. Steve Y. Oudot
4. W. Crawley‐Boevey

Citations in the corpus

• Persistence stability for geometric complexes (2012, background): “This result was later generalised by J. Latschev [16], who proved that if (Y, dY ) is sufficiently close to (X, dX) in the Gromov–Hausdorff distance, then there exists α > 0 such that Rips(Y, α) is homotopy equivalent to X. Recently, Attali et al. [1] adapted these results to a class of sufficiently”