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.References
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Additional Information
- Janusz R. Prajs
- Affiliation: Institute of Mathematics, Opole University, ul. Oleska 48, 45-052 Opole, Poland
- Email: jrprajs@math.uni.opole.pl
- Received by editor(s): May 25, 1994
- Received by editor(s) in revised form: February 3, 1998
- Published electronically: July 1, 1999
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 352 (2000), 1743-1757
- MSC (1991): Primary 54F15; Secondary 54F50, 54B15
- DOI: https://doi.org/10.1090/S0002-9947-99-02330-2
- MathSciNet review: 1608498
Dedicated: To the memory of Professor Bronisław Knaster