A simple proof of P. Carter’s theorem

Guillou, Lucien

doi:10.1090/S0002-9939-97-03766-0

A simple proof of P. Carter’s theorem
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by Lucien Guillou PDF

Proc. Amer. Math. Soc. 125 (1997), 1555-1559 Request permission

Abstract:

We give a simple proof of the following result of P. Carter: Given a twist homeomorphism of an annulus with at most one fixed point in the interior of the annulus, then there exists an essential simple closed curve inside this annulus meeting its image in at most the (possible) interior fixed point.

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