Results 21 to 30 of about 7,327 (139)
A note on Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces [PDF]
, 2012 We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. We then extend it to the non-compact case by describing a
Abraham, Romain +2 more
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Gromov-Hausdorff Distance and Borsuk Number
, 2022 It is the same publication as arXiv:2203.04030.
Ivanov, Alexander, Tuzhilin, Alexey
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Noncommutative Solenoids and the Gromov-Hausdorff Propinquity [PDF]
, 2017 We prove that noncommutative solenoids are limits, in the sense of the Gromov-Hausdorff propinquity, of quantum tori. From this observation, we prove that noncommutative solenoids can be approximated by finite dimensional quantum compact metric spaces ...
Latremoliere, Frederic, Packer, Judith
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Quantized Gromov–Hausdorff distance
Journal of Functional Analysis, 2006 A quantized metric space is a matrix order unit space equipped with an operator space version of Rieffel's Lip-norm. We develop for quantized metric spaces an operator space version of quantum Gromov-Hausdorff distance. We show that two quantized metric spaces are completely isometric if and only if their quantized Gromov-Hausdorff distance is zero. We
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On $$p$$-Metric Spaces and the $$p$$-Gromov-Hausdorff Distance
p-Adic Numbers, Ultrametric Analysis and Applications, 2022 The previous version of this paper is split into two papers: (1) the computational part of the previous version was expanded and written as a new paper which can be found at arXiv:2110.03136; (2) the current version of this paper contains the theoretical part of the previous ...
Mémoli, Facundo, Wan, Zhengchao
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Matricial quantum Gromov–Hausdorff distance
Journal of Functional Analysis, 2003 We develop a matricial version of Rieffel's Gromov-Hausdorff distance for compact quantum metric spaces within the setting of operator systems and unital C*-algebras. Our approach yields a metric space of ``isometric'' unital complete order isomorphism classes of metrized operator systems which in many cases exhibits the same convergence properties as ...
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Order-unit quantum Gromov–Hausdorff distance
Journal of Functional Analysis, 2006 We introduce a new distance dist_oq between compact quantum metric spaces. We show that dist_oq is Lipschitz equivalent to Rieffel's distance dist_q, and give criteria for when a parameterized family of compact quantum metric spaces is continuous with respect to dist_oq.
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Realizations of Gromov-Hausdorff Distance
, 2016 6 ...
Ivanov, Alexander +2 more
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Geometry of non-Archimedean Gromov-Hausdorff distance [PDF]
P-Adic Numbers, Ultrametric Analysis, and Applications, 2009 49 ...
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The Quantum Gromov-Hausdorff Propinquity [PDF]
, 2013 We introduce the quantum Gromov-Hausdorff propinquity, a new distance between quantum compact metric spaces, which extends the Gromov-Hausdorff distance to noncommutative geometry and strengthens Rieffel's quantum Gromov-Hausdorff distance and Rieffel's ...
Latremoliere, Frederic
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