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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Orbits of the pseudocircle

Authors: Judy Kennedy and James T. Rogers
Journal: Trans. Amer. Math. Soc. 296 (1986), 327-340
MSC: Primary 54F20; Secondary 54F50
MathSciNet review: 837815
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Abstract: The following theorem is proved.

Theorem. The pseudocircle has uncountably many orbits under the action of its homeomorphism group. Each orbit is the union of uncountably many composants.

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Additional Information

PII: S 0002-9947(1986)0837815-9
Keywords: Continuum, pseudoarc, pseudocircle, orbit, Borel set, nearly homogeneous, stable homeomorphism
Article copyright: © Copyright 1986 American Mathematical Society