We prove that the non-separating curve complex of every surface of finite-type and genus at least three admits an exhaustion by finite rigid sets.
Mathematics Subject Classification (2020) 57K20 · 20F65 · 57M50 · 05E16
Research Article
Finite rigid sets of the non-separating curve complex
https://doi.org/10.21203/rs.3.rs-2458588/v1
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We prove that the non-separating curve complex of every surface of finite-type and genus at least three admits an exhaustion by finite rigid sets.
Mathematics Subject Classification (2020) 57K20 · 20F65 · 57M50 · 05E16
Curve complex
Mapping class group
Simplicial rigidity
Finite rigid sets
No competing interests reported.
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