Email this article Pretrees and Arborescent Convexities
- Authors: Malyutin A.V.1
-
Affiliations:
- St.Petersburg Department of Steklov Mathematical Institute
- Issue: Vol 212, No 5 (2016)
- Pages: 566-576
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/237085
- DOI: https://doi.org/10.1007/s10958-016-2689-1
- ID: 237085
Cite item
Open Access
Access granted
Subscription Access
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
About the authors
A. V. Malyutin
St.Petersburg Department of Steklov Mathematical Institute
Author for correspondence.
Email: malyutin@pdmi.ras.ru
Russian Federation, St.Petersburg
Supplementary files
