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

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Citation Formats

S. Ilbira and M. Korkmaz, “Finite rigid sets in curve complexes of nonorientable surfaces,” GEOMETRIAE DEDICATA, pp. 83–103, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48403.