Gromov-Hausdorff Convergence

Author:   Lambert M. Surhone ,  Mariam T. Tennoe ,  Susan F. Henssonow
Publisher:   VDM Publishing House
ISBN:  

9786131274213


Pages:   84
Publication Date:   16 August 2010
Format:   Paperback
Availability:   In Print   Availability explained
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Gromov-Hausdorff Convergence


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High Quality Content by WIKIPEDIA articles! In mathematics, Gromov-Hausdorff convergence, named after Mikhail Gromov and Felix Hausdorff, is a notion for convergence of metric spaces which is a generalization of Hausdorff convergence.Gromov-Hausdorff distance measures how far two compact metric spaces are from being isometric. If X and Y are two compact metric spaces, then dGH (X, Y ) is defined to be the infimum of all numbers dH(f (X ), g (Y )) for all metric spaces M and all isometric embeddings f: X M and g: Y M. Here dH denotes Hausdorff distance between subsets in M and the isometric embedding is understood in the global sense, i.e it must preserve all distances, not only infinitesimally small ones; for example no compact Riemannian manifold of negative sectional curvature admits such an embedding into Euclidean space

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Author:   Lambert M. Surhone ,  Mariam T. Tennoe ,  Susan F. Henssonow
Publisher:   VDM Publishing House
Imprint:   VDM Publishing House
Dimensions:   Width: 22.90cm , Height: 0.50cm , Length: 15.20cm
Weight:   0.136kg
ISBN:  

9786131274213


ISBN 10:   6131274215
Pages:   84
Publication Date:   16 August 2010
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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