DOI

A proof of the classical theorem on a simple closed curve (Jordan's theorem) is discussed; this proof is given by a Norwegian mathematician H. Tverberg and is little known to specialists. The proof has a metric nature and makes it possible to obtain an important metric refinement of Jordan's theorem, which is interesting on its own.

Original languageEnglish
Pages (from-to)851-860
Number of pages10
JournalSt. Petersburg Mathematical Journal
Volume27
Issue number5
DOIs
StatePublished - 2016

    Research areas

  • Jordan curve, Jordan's theorem

    Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

ID: 86669297