Results 71 to 80 of about 195 (142)

Lipschitz Carnot-Carathéodory Structures and their Limits. [PDF]

open access: yesJ Dyn Control Syst, 2023
Antonelli G   +2 more
europepmc   +1 more source

Quasi-isometric modification of Gromov-Hausdorff distance

open access: yesCommunications in Mathematics
We define a distance analogous to the Gromov-Hausdorff distance that enables the comparison of arbitrary quasi-isometric spaces. We also investigate properties preserved under limits with respect to this distance, as well as properties of the entire class of metric spaces equipped with this distance.
openaire   +2 more sources

On the Gromov-Hausdorff distance between compact spaces

open access: yes, 2023
This work provides an introduction to the Gromov-Hausdorff distance, discussing its original definition and its relationship with correspondences between spaces. We prove that the Gromov-Hausdorff distance serves as a metric for the set of isometry classes of compact metric spaces.
openaire   +1 more source

The G-Gromov-Hausdorff Distance and Equivariant Topology

open access: yes
For each arbitrary finite group $G$, we consider a suitable notion of Gromov Hausdorff distance between compact $G$ metric spaces and derive lower bounds based on equivariant topology methods. As applications, we prove equivariant rigidity and finiteness theorems, and obtain sharp bounds on the Gromov Hausdorff distance between spheres.
Lim, Sunhyuk, Memoli, Facundo
openaire   +2 more sources

The Gromov - Hausdorff distances to simplexes

open access: yesChebyshevskii sbornik, 2019
D.S. Grigor'ev   +2 more
openaire   +2 more sources

Biomolecular Topology: Modelling and Analysis. [PDF]

open access: yesActa Math Sin Engl Ser, 2022
Liu J, Xia KL, Wu J, Yau SS, Wei GW.
europepmc   +1 more source

Imaging-based representation and stratification of intra-tumor heterogeneity via tree-edit distance. [PDF]

open access: yesSci Rep, 2022
Cavinato L   +5 more
europepmc   +1 more source

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