Results 61 to 70 of about 7,327 (139)
EMBEDDINGS TO RECTILINEAR SPACE AND GROMOV--HAUSDORFF DISTANCES
Matematički VesnikWe show that the problem whether a given finite metric space can be embedded into $m$-dimensional rectilinear space can be reformulated in terms of the Gromov--Hausdorff distance between some special finite metric spaces.
Ivanov, Alexander, Tuzhilin, Alexey
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A Lorentzian Gromov–Hausdorff notion of distance [PDF]
Classical and Quantum Gravity, 2004 This paper is the first of three in which I study the moduli space of isometry classes of (compact) globally hyperbolic spacetimes (with boundary). I introduce a notion of Gromov-Hausdorff distance which makes this moduli space into a metric space. Further properties of this metric space are studied in the next papers. The importance of the work can be
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Some applications of canonical metrics to Landau–Ginzburg models
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract It is known that a given smooth del Pezzo surface or Fano threefold X$X$ admits a choice of log Calabi–Yau compactified mirror toric Landau–Ginzburg model (with respect to certain fixed Kähler classes and Gorenstein toric degenerations).
Jacopo Stoppa
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Topographic Gromov-Hausdorff quantum Hypertopology for Quantum Proper Metric Spaces
, 2014 We construct a topology on the class of pointed proper quantum metric spaces which generalizes the topology of the Gromov-Hausdorff distance on proper metric spaces, and the topology of the dual propinquity on Leibniz quantum compact metric spaces.
Latremoliere, Frederic
core
Willmore‐type inequality in unbounded convex sets
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract In this paper, we prove the following Willmore‐type inequality: on an unbounded closed convex set K⊂Rn+1$K\subset \mathbb {R}^{n+1}$ (n⩾2$(n\geqslant 2$), for any embedded hypersurface Σ⊂K${\Sigma }\subset K$ with boundary ∂Σ⊂∂K$\partial {\Sigma }\subset \partial K$ satisfying a certain contact angle condition, there holds 1n+1∫ΣHndA⩾AVR(K)|Bn+
Xiaohan Jia +3 more
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Extendability of Metric Segments in Gromov--Hausdorff Distance
, 2020 19 ...
Borzov, S. I. +2 more
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Calculating Gromov-Hausdorff Distance by means of Borsuk Number
, 2022 The purpose of this article is to demonstrate the connection between the properties of the Gromov--Hausdorff distance and the Borsuk conjecture. The Borsuk number of a given bounded metric space $X$ is the infimum of cardinal numbers $n$ such that $X$ can be partitioned into $n$ smaller parts (in the sense of diameter). An exact formula for the Gromov--
Ivanov, Alexander O. +1 more
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Recovering metric from full ordinal information
, 2018 Given a geodesic space (E, d), we show that full ordinal knowledge on the metric d-i.e. knowledge of the function D d : (w, x, y, z) $\rightarrow$ 1 d(w,x)$\le$d(y,z) , determines uniquely-up to a constant factor-the metric d.
Gouic, Thibaut Le
core
, 2013 Quantum tori are limits of finite dimensional C*-algebras for the quantum Gromov-Hausdorff propinquity, a metric defined by the author as a strengthening of Rieffel's quantum Gromov-Hausdorff designed to retain the C*-algebraic structure.
Latremoliere, Frederic
core
GROMOV--HAUSDORFF DISTANCES BETWEEN NORMED SPACES
Matematički VesnikIn the present paper we study the original Gromov-Hausdorff distance between real normed spaces. In the first part of the paper we prove that two finite-dimensional real normed spaces on a finite Gromov-Hausdorff distance are isometric to each other.
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