Circle decompositions of surfaces

Academic Article

Abstract

  • We determine which connected surfaces can be partitioned into topological circles. There are exactly seven such surfaces up to homeomorphism: those of finite type, of Euler characteristic zero, and with compact boundary components. As a byproduct, we get that any circle decomposition of a surface is upper semicontinuous. © 2010 Elsevier B.V.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Author List

  • Moussong G; Simányi N
  • Start Page

  • 392
  • End Page

  • 396
  • Volume

  • 158
  • Issue

  • 3