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.

Original languageEnglish
Pages (from-to)566-576
Number of pages11
JournalJournal of Mathematical Sciences (United States)
Volume212
Issue number5
Early online date8 Jan 2016
DOIs
StatePublished - 2016
Externally publishedYes

    Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

    Research areas

  • Hull, Radon, Convexity Space, Interval Space, Convex Structure

ID: 47487908