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Orbits of the Pseudocircle

Orbits of the pseudocircle

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1986Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 296, page 327 (issn: 0002-9947,

Authors: James T. Rogers; Judy Kennedy;

doi: 10.2307/2000577 , 10.1090/s0002-9947-1986-0837815-9

Orbits of the Pseudocircle

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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.

Keywords

nearly homogeneous, Continua and generalizations, Borel set, pseudocircle, stable homeomorphism, Topological spaces of dimension \(\leq 1\); curves, dendrites, circularly chainable, hereditarily indecomposable, separating plane continuum, orbit

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