A note on the rigidity of unmeasured lamination spaces

Ohshika, Ken’ichi

doi:10.1090/S0002-9939-2013-11670-9

A note on the rigidity of unmeasured lamination spaces
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Proc. Amer. Math. Soc. 141 (2013), 4385-4389 Request permission

Abstract:

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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