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Algebra i Analiz, 2010, Volume 22, Issue 5, Pages 140–153 (Mi aa1208)  
This article is cited in 14 scientific papers (total in 14 papers)

Research Papers

On intrinsic isometries to Euclidean space

A. Petrunin
Full-text PDF (247 kB) Citations (14)
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Abstract: Compact metric spaces that admit intrinsic isometries to the Euclidean $d$-space are considered. Roughly, the main result states that the class of such spaces coincides with the class of inverse limits of Euclidean $d$-polyhedra.
Keywords: ontrinsic isometry, path isometry, Riemannian metric, polyhedron, pro-Euclidean space.
Received: 10.02.2010
English version:
St. Petersburg Mathematical Journal, 2011, Volume 22, Issue 5, Pages 803–812
DOI: https://doi.org/10.1090/S1061-0022-2011-01169-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Petrunin, “On intrinsic isometries to Euclidean space”, Algebra i Analiz, 22:5 (2010), 140–153; St. Petersburg Math. J., 22:5 (2011), 803–812
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/aa/v22/i5/p140
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:443
    Full-text PDF :253
    References:56
    First page:12
     
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