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Об отображениях, сохраняющих метрический порядок. / Kamalutdinov, Kirill Glebovich.

In: Siberian Electronic Mathematical Reports, Vol. 14, 2017, p. 1434-1439.

Research output: Contribution to journal › Article › peer-review

Harvard

Kamalutdinov, KG 2017, 'Об отображениях, сохраняющих метрический порядок', Siberian Electronic Mathematical Reports, vol. 14, pp. 1434-1439. https://doi.org/10.17377/semi.2017.14.122

APA

Kamalutdinov, K. G. (2017). Об отображениях, сохраняющих метрический порядок. Siberian Electronic Mathematical Reports, 14, 1434-1439. https://doi.org/10.17377/semi.2017.14.122

Vancouver

Kamalutdinov KG. Об отображениях, сохраняющих метрический порядок. Siberian Electronic Mathematical Reports. 2017;14:1434-1439. doi: 10.17377/semi.2017.14.122

Author

Kamalutdinov, Kirill Glebovich. / Об отображениях, сохраняющих метрический порядок. In: Siberian Electronic Mathematical Reports. 2017 ; Vol. 14. pp. 1434-1439.

BibTeX

@article{247f5e372ab14979aa5687a7e91451d0,
title = "Об отображениях, сохраняющих метрический порядок",
abstract = "We define mappings that preserve metric order and show that they determine the classification of metric spaces. It is proved that the cardinality of set of nontrivial isometries of hyperspace with Hausdorff metric over the metric space X depends only on the metric order of X. We also deduce some properties of mappings that preserve metric order of continua.",
keywords = "Continuum, Hyperspace, Metric, Nontrivial isometry",
author = "Kamalutdinov, {Kirill Glebovich}",
note = "Publisher Copyright: {\textcopyright} Sobolev Institute of Mathematics. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",
year = "2017",
doi = "10.17377/semi.2017.14.122",
language = "русский",
volume = "14",
pages = "1434--1439",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",

}

RIS

TY - JOUR

T1 - Об отображениях, сохраняющих метрический порядок

AU - Kamalutdinov, Kirill Glebovich

N1 - Publisher Copyright: © Sobolev Institute of Mathematics. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2017

Y1 - 2017

N2 - We define mappings that preserve metric order and show that they determine the classification of metric spaces. It is proved that the cardinality of set of nontrivial isometries of hyperspace with Hausdorff metric over the metric space X depends only on the metric order of X. We also deduce some properties of mappings that preserve metric order of continua.

AB - We define mappings that preserve metric order and show that they determine the classification of metric spaces. It is proved that the cardinality of set of nontrivial isometries of hyperspace with Hausdorff metric over the metric space X depends only on the metric order of X. We also deduce some properties of mappings that preserve metric order of continua.

KW - Continuum

KW - Hyperspace

KW - Metric

KW - Nontrivial isometry

UR - http://www.scopus.com/inward/record.url?scp=85074586579&partnerID=8YFLogxK

U2 - 10.17377/semi.2017.14.122

DO - 10.17377/semi.2017.14.122

M3 - статья

AN - SCOPUS:85074586579

VL - 14

SP - 1434

EP - 1439

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

ID: 28554642