Isometry Group of Gromov--Hausdorff Space
A Ivanov, A Tuzhilin - arXiv preprint arXiv:1806.02100, 2018 - arxiv.org
The present paper is devoted to investigation of the isometry group of the Gromov-Hausdorff
space, ie, the metric space of compact metric spaces considered up to an isometry and …
space, ie, the metric space of compact metric spaces considered up to an isometry and …
[图书][B] Gromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs
J Lee, C Morales - 2022 - books.google.com
This monograph presents new insights into the perturbation theory of dynamical systems
based on the Gromov-Hausdorff distance. In the first part, the authors introduce the notion of …
based on the Gromov-Hausdorff distance. In the first part, the authors introduce the notion of …
Characterization of Gromov-type geodesics
It is well known that, when endowed with the Gromov-Hausdorff distance d GH, the
collection M of all isometry classes of compact metric spaces is a complete and separable …
collection M of all isometry classes of compact metric spaces is a complete and separable …
Path connectivity of spheres in the Gromov–Hausdorff class
A Ivanov, R Tsvetnikov, A Tuzhilin - Topology and its Applications, 2023 - Elsevier
The paper is devoted to geometrical investigation of Gromov–Hausdorff distance on the
classes of all metric spaces and of all bounded metric spaces. The main attention is paid to …
classes of all metric spaces and of all bounded metric spaces. The main attention is paid to …
Isometric embeddings of bounded metric spaces in the Gromov-Hausdorff class
AO Ivanov, AA Tuzhilin - Matematicheskii Sbornik, 2022 - mathnet.ru
AO Ivanov, AA Tuzhilin, “Isometric embeddings of bounded metric spaces in the Gromov-Hausdorff
class”, Mat. Sb., 213:10 (2022), 90–107; Sb. Math., 213:10 (2022), 1400–1414 Sbornik …
class”, Mat. Sb., 213:10 (2022), 90–107; Sb. Math., 213:10 (2022), 1400–1414 Sbornik …
A natural compactification of the Gromov–Hausdorff space
H Nakajima, T Shioya - Geometriae Dedicata, 2024 - Springer
A natural compactification of the Gromov–Hausdorff space | SpringerLink Skip to main content
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Isometric Embeddings of Bounded Metric Spaces into the Gromov-Hausdorff Class
AO Ivanov, AA Tuzhilin - arXiv preprint arXiv:2203.02904, 2022 - arxiv.org
It is shown that any bounded metric space can be isometrically embedded into the Gromov--
Hausdorff metric class GH. This result is a consequence of local geometry description of the …
Hausdorff metric class GH. This result is a consequence of local geometry description of the …
Convexity of a ball in the Gromov–Hausdorff space
DP Klibus - Moscow University Mathematics Bulletin, 2018 - Springer
The space M of all nonempty compact metric spaces considered up to an isometry and
endowed with the Gromov–Hausdorff distance is studied. It is shown that each ball in M …
endowed with the Gromov–Hausdorff distance is studied. It is shown that each ball in M …
On inductive and inverse limits of systems of compact metric spaces and applications
K Urbaś - Topology and its Applications, 2023 - Elsevier
On inductive and inverse limits of systems of compact metric spaces and applications -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Help …
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Help …
The non-compact normed space of norms on a finite-dimensional Banach space
A Khare - arXiv preprint arXiv:1810.06188, 2018 - arxiv.org
We discuss a new pseudometric on the space of all norms on a finite-dimensional vector
space (or free module) $\mathbb {F}^ k $, with $\mathbb {F} $ the real, complex, or …
space (or free module) $\mathbb {F}^ k $, with $\mathbb {F} $ the real, complex, or …