Orbits of the pseudocircle

Kennedy, Judy; Rogers, James T.

doi:10.1090/S0002-9947-1986-0837815-9

Orbits of the pseudocircle
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by Judy Kennedy and James T. Rogers PDF

Trans. Amer. Math. Soc. 296 (1986), 327-340 Request permission

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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