A note on the rigidity of unmeasured lamination spaces

Mathematics – Geometric Topology

Scientific paper

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5 pages

Scientific paper

We show that every auto-homeomorphism of the unmeasured lamination space of
an orientable surface of finite type is induced by a unique extended mapping
class unless the surface is a sphere with at most four punctures or a torus
with at most two punctures or a closed surface of genus 2.

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