Results 91 to 100 of about 7,382 (157)

The Gromov - Hausdorff distances to simplexes

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

Mazur-Ulam Theorem With Gromov-Hausdorff Distance

open access: yes
It is shown that two Banach spaces are linearly isometric if and only if the Gromov--Hausdorff distance between them is finite, in particular, zero. The proof is compilative and relies on results obtained by many researchers on the approximability of almost-surjective almost-isometries by linear surjective isometries.
Bogaty, S. A., Tuzhilin, A. A.
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

Quasi-isometric modification of Gromov-Hausdorff distance

open access: yes
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

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