Standard

Pretrees and the shadow topology. / Malyutin, A. V.

In: St. Petersburg Mathematical Journal, Vol. 26, No. 2, 01.01.2015, p. 225-271.

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

Harvard

Malyutin, AV 2015, 'Pretrees and the shadow topology', St. Petersburg Mathematical Journal, vol. 26, no. 2, pp. 225-271. https://doi.org/10.1090/S1061-0022-2015-01338-1

APA

Malyutin, A. V. (2015). Pretrees and the shadow topology. St. Petersburg Mathematical Journal, 26(2), 225-271. https://doi.org/10.1090/S1061-0022-2015-01338-1

Vancouver

Malyutin AV. Pretrees and the shadow topology. St. Petersburg Mathematical Journal. 2015 Jan 1;26(2):225-271. https://doi.org/10.1090/S1061-0022-2015-01338-1

Author

Malyutin, A. V. / Pretrees and the shadow topology. In: St. Petersburg Mathematical Journal. 2015 ; Vol. 26, No. 2. pp. 225-271.

BibTeX

@article{a048162392744d6c83992d4025c4583f,
title = "Pretrees and the shadow topology",
abstract = "A further development of the theory of pretrees, started by the work of L. Ward, P. Duchet, B. Bowditch, S. Adeleke and P. Neumann, and others, is presented. In particular, a relationship between this theory and the theory of convex structures is established. The shadow topology is investigated in detail. This remarkable topology emerges on tree-like objects of various types and has broad application.",
keywords = "Antimatroid, Betweenness, Convexity, Dendrite, dendritic space, Dendron, Interval space, Krein-Milman theorem, Lawson topology, Observers' topology, Pretree, Pseudotree, R-tree, Shadow topology, Space of ends, Syzygy, Tree, Variety of convex structures",
author = "Malyutin, {A. V.}",
year = "2015",
month = jan,
day = "1",
doi = "10.1090/S1061-0022-2015-01338-1",
language = "English",
volume = "26",
pages = "225--271",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Pretrees and the shadow topology

AU - Malyutin, A. V.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - A further development of the theory of pretrees, started by the work of L. Ward, P. Duchet, B. Bowditch, S. Adeleke and P. Neumann, and others, is presented. In particular, a relationship between this theory and the theory of convex structures is established. The shadow topology is investigated in detail. This remarkable topology emerges on tree-like objects of various types and has broad application.

AB - A further development of the theory of pretrees, started by the work of L. Ward, P. Duchet, B. Bowditch, S. Adeleke and P. Neumann, and others, is presented. In particular, a relationship between this theory and the theory of convex structures is established. The shadow topology is investigated in detail. This remarkable topology emerges on tree-like objects of various types and has broad application.

KW - Antimatroid

KW - Betweenness

KW - Convexity

KW - Dendrite

KW - dendritic space

KW - Dendron

KW - Interval space

KW - Krein-Milman theorem

KW - Lawson topology

KW - Observers' topology

KW - Pretree

KW - Pseudotree

KW - R-tree

KW - Shadow topology

KW - Space of ends

KW - Syzygy

KW - Tree

KW - Variety of convex structures

UR - http://www.scopus.com/inward/record.url?scp=84922326382&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-2015-01338-1

DO - 10.1090/S1061-0022-2015-01338-1

M3 - Article

AN - SCOPUS:84922326382

VL - 26

SP - 225

EP - 271

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 2

ER -

ID: 47487747