Finite rigid sets in curve complexes of nonorientable surfaces


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Ilbira S., KORKMAZ M.

GEOMETRIAE DEDICATA, cilt.206, ss.83-103, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 206 Konu: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s10711-019-00478-6
  • Dergi Adı: GEOMETRIAE DEDICATA
  • Sayfa Sayıları: ss.83-103

Özet

A rigid set in a curve complex of a surface is a subcomplex such that every locally injective simplicial map from the set into the curve complex is induced by a homeomorphism of the surface. In this paper, we find finite rigid sets in the curve complexes of connected nonorientable surfaces of genus g with n holes for g + n not equal 4.