Finite rigid sets in curve complexes of nonorientable surfaces

Date

2020-06-01

Author

Ilbira, Sabahattin
Korkmaz, Mustafa

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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.

Subject Keywords

Geometry and Topology

URI

https://hdl.handle.net/11511/48403

Journal

GEOMETRIAE DEDICATA

DOI

https://doi.org/10.1007/s10711-019-00478-6

Collections

Department of Mathematics, Article

Citation Formats

S. Ilbira and M. Korkmaz, “Finite rigid sets in curve complexes of nonorientable surfaces,” GEOMETRIAE DEDICATA, vol. 206, no. 1, pp. 83–103, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48403.