Finite rigid sets in curve complexes of non-orientable surfaces

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2017

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Ilbıra, Sabahattin

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A finite rigid set in a curve complex of a surface is a subcomplex such that every locally injective simplicial map defined on this subcomplex into the curve complex is induced from an automorphism of curve complex. In this thesisi we find finite rigid sets in the curve complexes of connected, non-orientable surfaces of genus g with n holes, where g+n neq 4.

Subject Keywords

Curves., Surfaces., Finite groups.

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http://etd.lib.metu.edu.tr/upload/12621649/index.pdf
https://hdl.handle.net/11511/26967

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

S. Ilbıra, “Finite rigid sets in curve complexes of non-orientable surfaces,” Ph.D. - Doctoral Program, Middle East Technical University, 2017.