A note on the rigidity of unmeasured lamination spaces
classification
🧮 math.GT
keywords
surfacelaminationpuncturesunmeasuredauto-homeomorphismclassclosedevery
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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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