An ARC Which Has No Quasiisometric Extension to Anywhere

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Date

1990-06-??

Authors

黃文達

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國立臺灣師範大學研究發展處
Office of Research and Development

Abstract

本文主要目的在於造出一條平面上的弧,及定義在此弧上的一個擬等拒變換,而此擬等拒變換無法經由此弧上的任何一點延拓到包含該點的任何鄰域上。
We shall construct, for each L > 1, an are β and an L-quasiisometry f in β such that f has no quasiisometric extension to any neighborhood of any point on β.

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