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Pretrees and Arborescent Convexities. / Malyutin, A. V.

In: Journal of Mathematical Sciences (United States), Vol. 212, No. 5, 2016, p. 566-576.

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

Harvard

Malyutin, AV 2016, 'Pretrees and Arborescent Convexities', Journal of Mathematical Sciences (United States), vol. 212, no. 5, pp. 566-576. https://doi.org/10.1007/s10958-016-2689-1

APA

Malyutin, A. V. (2016). Pretrees and Arborescent Convexities. Journal of Mathematical Sciences (United States), 212(5), 566-576. https://doi.org/10.1007/s10958-016-2689-1

Vancouver

Malyutin AV. Pretrees and Arborescent Convexities. Journal of Mathematical Sciences (United States). 2016;212(5):566-576. https://doi.org/10.1007/s10958-016-2689-1

Author

Malyutin, A. V. / Pretrees and Arborescent Convexities. In: Journal of Mathematical Sciences (United States). 2016 ; Vol. 212, No. 5. pp. 566-576.

BibTeX

@article{3153665e41894253bfcb91ac473585d9,
title = "Pretrees and Arborescent Convexities",
abstract = "The theory of pretrees has been developed by L. Ward, B. Bowditch, S. Adeleke and P. Neumann, and others. It is proved that the class of pretrees is canonically isomorphic to the class of arborescent convexity spaces introduced by P. Duchet in the framework of the abstract convexity theory.",
keywords = "Hull, Radon, Convexity Space, Interval Space, Convex Structure",
author = "Malyutin, {A. V.}",
note = "Malyutin, A.V. Pretrees and Arborescent Convexities. J Math Sci 212, 566–576 (2016). https://doi.org/10.1007/s10958-016-2689-1",
year = "2016",
doi = "10.1007/s10958-016-2689-1",
language = "English",
volume = "212",
pages = "566--576",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Pretrees and Arborescent Convexities

AU - Malyutin, A. V.

N1 - Malyutin, A.V. Pretrees and Arborescent Convexities. J Math Sci 212, 566–576 (2016). https://doi.org/10.1007/s10958-016-2689-1

PY - 2016

Y1 - 2016

N2 - The theory of pretrees has been developed by L. Ward, B. Bowditch, S. Adeleke and P. Neumann, and others. It is proved that the class of pretrees is canonically isomorphic to the class of arborescent convexity spaces introduced by P. Duchet in the framework of the abstract convexity theory.

AB - The theory of pretrees has been developed by L. Ward, B. Bowditch, S. Adeleke and P. Neumann, and others. It is proved that the class of pretrees is canonically isomorphic to the class of arborescent convexity spaces introduced by P. Duchet in the framework of the abstract convexity theory.

KW - Hull

KW - Radon

KW - Convexity Space

KW - Interval Space

KW - Convex Structure

UR - http://www.scopus.com/inward/record.url?scp=84953410564&partnerID=8YFLogxK

U2 - 10.1007/s10958-016-2689-1

DO - 10.1007/s10958-016-2689-1

M3 - Article

AN - SCOPUS:84953410564

VL - 212

SP - 566

EP - 576

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 47487908