Abstract
We prove the following: Theorem. If P ′ P’ is a proper subcontinuum of the pseudoarc P , h ′ P,\,h’ is a homeomorphism from P ′ P’ onto itself, and Θ \Theta is an open set in P P that contains P ′ P’ , then there is a homeomorphism h h from P P onto itself such that h | P ′ = h ′ h|P’ = h’ and h ( x ) = x h(x) = x for x ∉ Θ x \notin \Theta .
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