Finite Rigid Sets in Curve Complexes of Non-Orientable Surfaces

Sabahattİn Ilbira; Mustafa Korkmaz

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arXiv · 1810.07964

Finite Rigid Sets in Curve Complexes of Non-Orientable Surfaces

Sabahattİn Ilbira·Mustafa Korkmaz

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Abstract

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 non-orientable surfaces of genus $g$ with $n$ holes for $g+n \neq 4$.

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BibTeX RIS

Sabahattİn Ilbira, Mustafa Korkmaz. 2018-10-18. Finite Rigid Sets in Curve Complexes of Non-Orientable Surfaces. https://arxiv.org/abs/1810.07964

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