Introducing a topology by an operation of a set-theoretic boundary

Chądzyńska, Alina; Pustelnik, Mirosław

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B. S. Spahn (1980)

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Reduced Bers boundaries of Teichmüller spaces

Ken’ichi Ohshika (2014)

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We consider a quotient space of the Bers boundary of Teichmüller space, which we call the reduced Bers boundary, by collapsing each quasi-conformal deformation space lying there into a point.This boundary turns out to be independent of the basepoint, and the action of the mapping class group extends continuously to this boundary.This is an affirmative answer to Thurston’s conjecture.He also conjectured that this boundary is homeomorphic to the unmeasured lamination space by the correspondence...