A continuous circle of pseudo-arcs filling up the annulus

Prajs, Janusz

doi:10.1090/S0002-9947-99-02330-2

A continuous circle of pseudo-arcs filling up the annulus
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by Janusz R. Prajs PDF

Trans. Amer. Math. Soc. 352 (2000), 1743-1757 Request permission

Abstract:

We prove an early announcement by Knaster on a decomposition of the plane. Then we establish an announcement by Anderson saying that the plane annulus admits a continuous decomposition into pseudo-arcs such that the quotient space is a simple closed curve. This provides a new plane curve, “a selectible circle of pseudo-arcs", and answers some questions of Lewis.

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