Topological dimension of the Gromov-Hausdorff and Gromov-Prokhorov spaces
Fuente:
arXiv
Saved in:
| Main Authors: | Nakajima, Hiroki, Yamauchi, Takamitsu, Zava, Nicolò |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Lower Bounding the Gromov--Hausdorff distance in Metric Graphs
by: Adams, Henry, et al.
Published: (2024)
by: Adams, Henry, et al.
Published: (2024)
Coarse and bi-Lipschitz embeddability of subspaces of the Gromov-Hausdorff space into Hilbert spaces
by: Zava, Nicolò
Published: (2023)
by: Zava, Nicolò
Published: (2023)
On the Gromov-Hausdorff Limits of Compact Surfaces with Boundary
by: Dott, Tobias
Published: (2024)
by: Dott, Tobias
Published: (2024)
Gromov-Hausdorff convergence of maximal Gromov hyperbolic spaces and their boundaries
by: Biswas, Kingshook, et al.
Published: (2025)
by: Biswas, Kingshook, et al.
Published: (2025)
Stability of optimal transport on metric measure spaces
by: Han, Bang-Xian, et al.
Published: (2026)
by: Han, Bang-Xian, et al.
Published: (2026)
On Lipschitz partitions of unity and the Assouad--Nagata dimension
by: Licht, Martin W.
Published: (2023)
by: Licht, Martin W.
Published: (2023)
Coarse structures on locally compact abelian groups
by: Shakhmatov, Dmitri, et al.
Published: (2024)
by: Shakhmatov, Dmitri, et al.
Published: (2024)
New geodesic lines in the Gromov-Hausdorff class lying in the cloud of the real line
by: Mikhailov, Ivan N.
Published: (2025)
by: Mikhailov, Ivan N.
Published: (2025)
Classical and continuous Gromov-Hausdorff distances
by: Semenov, K. V., et al.
Published: (2026)
by: Semenov, K. V., et al.
Published: (2026)
On the geometry of Wasserstein barycenter I
by: Han, Bang-Xian, et al.
Published: (2024)
by: Han, Bang-Xian, et al.
Published: (2024)
The G-Gromov-Hausdorff Distance and Equivariant Topology
by: Lim, Sunhyuk, et al.
Published: (2025)
by: Lim, Sunhyuk, et al.
Published: (2025)
An Isometric Embedding of the $\ell^\infty$ product space of two bounded subspaces of the Gromov-Hausdorff Space into the Gromov-Hausdorff Space
by: Byakuno, Takuma
Published: (2025)
by: Byakuno, Takuma
Published: (2025)
Basic Metric Geometry of the Bottleneck Distance
by: Che, Mauricio, et al.
Published: (2022)
by: Che, Mauricio, et al.
Published: (2022)
Metric Geometry of Spaces of Persistence Diagrams
by: Che, Mauricio, et al.
Published: (2021)
by: Che, Mauricio, et al.
Published: (2021)
Coarse Proximity and Proximity at Infinity
by: Grzegrzolka, Pawel, et al.
Published: (2018)
by: Grzegrzolka, Pawel, et al.
Published: (2018)
Strongly rigid metrics in spaces of metrics
by: Ishiki, Yoshito
Published: (2022)
by: Ishiki, Yoshito
Published: (2022)
Convergence of Riemannian 2-manifolds under a uniform curvature and contractibility bound
by: Dott, Tobias
Published: (2025)
by: Dott, Tobias
Published: (2025)
A sequence of compact metric spaces and an isometric embedding into the Gromov-Hausdorff space
by: Byakuno, Takuma
Published: (2025)
by: Byakuno, Takuma
Published: (2025)
On the infinite powers of large zero-dimensional metrizable spaces
by: Medini, Andrea
Published: (2025)
by: Medini, Andrea
Published: (2025)
Asymptotic-Type Dimension Bounds through Combinatorial Approaches
by: Yu, Jing, et al.
Published: (2024)
by: Yu, Jing, et al.
Published: (2024)
Magnitude and matrix inequalities
by: Gomi, Kiyonori, et al.
Published: (2025)
by: Gomi, Kiyonori, et al.
Published: (2025)
Gromov-Hausdorff metrics and dimensions of Lorentzian length spaces
by: Müller, Olaf
Published: (2022)
by: Müller, Olaf
Published: (2022)
Asymptotic dimension of fuzzy metric spaces
by: Grzegrzolka, Pawel
Published: (2020)
by: Grzegrzolka, Pawel
Published: (2020)
Calculating Gromov-Hausdorff distance by means of asymptotic dimension
by: Mikhailov, Ivan N.
Published: (2025)
by: Mikhailov, Ivan N.
Published: (2025)
Quantitative upper bounds on the Gromov-Hausdorff distance between spheres
by: Harrison, Michael, et al.
Published: (2023)
by: Harrison, Michael, et al.
Published: (2023)
Geometric embeddings of spaces of persistence diagrams with explicit distortions
by: Mitra, Atish, et al.
Published: (2024)
by: Mitra, Atish, et al.
Published: (2024)
Fibers of continuous functions that connect or separate some opposite faces of the unit cube, and a generalization of the Lebesgue Covering Theorem
by: Dybowski, Michał
Published: (2026)
by: Dybowski, Michał
Published: (2026)
An Isometric Embedding of a Bounded Set in a Euclidean Space into the Gromov-Hausdorff Space
by: Byakuno, Takuma
Published: (2024)
by: Byakuno, Takuma
Published: (2024)
Gromov-Hausdorff Geometry of Metric Trees
by: Ivanov, A. O., et al.
Published: (2024)
by: Ivanov, A. O., et al.
Published: (2024)
The Gromov-Hausdorff distance between $l^p$-products of metric spaces
by: Abdullaev, Emin
Published: (2026)
by: Abdullaev, Emin
Published: (2026)
Fundamentals of Theory of Continuous Gromov--Hausdorff distance
by: Bogaty, Semeon A., et al.
Published: (2025)
by: Bogaty, Semeon A., et al.
Published: (2025)
Embeddings to Rectilinear Space and Gromov-Hausdorff Distances
by: Ivanov, A. O., et al.
Published: (2024)
by: Ivanov, A. O., et al.
Published: (2024)
Peel neighborhoods
by: Huntsman, Steve
Published: (2026)
by: Huntsman, Steve
Published: (2026)
Metric Space Recognition by Gromov-Hausdorff Distances to Simplexes
by: Ivanov, A. O., et al.
Published: (2024)
by: Ivanov, A. O., et al.
Published: (2024)
The Persistent Topology of Optimal Transport Based Metric Thickenings
by: Adams, Henry, et al.
Published: (2021)
by: Adams, Henry, et al.
Published: (2021)
Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes
by: Adams, Henry, et al.
Published: (2022)
by: Adams, Henry, et al.
Published: (2022)
Distortion from spheres into Euclidean spaces
by: Dibble, James
Published: (2025)
by: Dibble, James
Published: (2025)
Borsuk-Ulam type theorems for metric spaces
by: Akopyan, Arseniy, et al.
Published: (2012)
by: Akopyan, Arseniy, et al.
Published: (2012)
Surjective Mappings in the Hyers--Ulam Theorem and the Gromov--Hausdorff Distance
by: Bogatyi, S. A., et al.
Published: (2025)
by: Bogatyi, S. A., et al.
Published: (2025)
Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry
by: Braun, Mathias, et al.
Published: (2025)
by: Braun, Mathias, et al.
Published: (2025)
Similar Items
-
Lower Bounding the Gromov--Hausdorff distance in Metric Graphs
by: Adams, Henry, et al.
Published: (2024) -
Coarse and bi-Lipschitz embeddability of subspaces of the Gromov-Hausdorff space into Hilbert spaces
by: Zava, Nicolò
Published: (2023) -
On the Gromov-Hausdorff Limits of Compact Surfaces with Boundary
by: Dott, Tobias
Published: (2024) -
Gromov-Hausdorff convergence of maximal Gromov hyperbolic spaces and their boundaries
by: Biswas, Kingshook, et al.
Published: (2025) -
Stability of optimal transport on metric measure spaces
by: Han, Bang-Xian, et al.
Published: (2026)