Finite Rigid Sets in Curve Complexes of Non-Orientable Surfaces

2018/10/18 by Ilbira, Sabahattİn, Korkmaz, Mustafa
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1810.07964

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 ≠ 4.

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