Vol. 93, No. 1, 1981

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Embeddings of the pseudo-arc in E2

Wayne Steven Lewis

Vol. 93 (1981), No. 1, 115–120
Abstract

In this paper, we show that there exists an embedding, Ps, of the pseudo-arc in the plane such that any two accessible points lie in distinct composants of Ps. We also show that there are c = 2ω0 distinct embeddings of the pseudo-arc in the plane, including for each positive integer n, one with exactly n composants accessible. This answers some questions and a conjecture of Brechner.

Mathematical Subject Classification 2000
Primary: 54F20, 54F20
Secondary: 57N35
Milestones
Received: 24 October 1977
Revised: 17 December 1979
Published: 1 March 1981
Authors
Wayne Steven Lewis