Journal of Knot Theory and Its Ramifications, Volume 26, Issue 14 , 01/12/2017
Exhausting pants graphs of punctured spheres by finite rigid sets
Abstract
Let S0,n be an n-punctured sphere. For n ≥ 4, we construct a sequence (X<inf>i</inf>)<inf>i∈N</inf> of finite rigid sets in the pants graph P(S<inf>0,n</inf>) such that X<inf>1</inf> ⊂2 ⊂⋯ ⊂ P(S<inf>0,n</inf>) and ?<inf>i≥1</inf> X<inf>i</inf> = (S<inf>0,n</inf>).
Document Type
Article
Source Type
Journal
Keywords
Mapping class groupspants graphspunctured spheresrigidity
ASJC Subject Area
Mathematics : Geometry and TopologyMathematics : Algebra and Number Theory