Williams, Robert F. A note on unstable homeomorphisms. (English) Zbl 0067.15402 Proc. Am. Math. Soc. 6, 308-309 (1955). La note décrit un exemple d’un homéomorphisme instable sur le continu \(\{a_0, a_1,\dots\}\) des suites de nombres complexes de module 1 vérifiant \(a_i = a_{i+1}^2\). II s’agit de l’homéomorphisme: \[ f(\{a_0, a_1, \dots\}) = \{a_0^2, a_1^2, \dots\}. \] Reviewer: G. Reeb Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 31 Documents MSC: 54-XX General topology Keywords:unstable homeomorphisms PDFBibTeX XMLCite \textit{R. F. Williams}, Proc. Am. Math. Soc. 6, 308--309 (1955; Zbl 0067.15402) Full Text: DOI References: [1] W. R. Utz, Unstable homeomorphisms, Proc. Amer. Math. Soc. 1 (1950), 769 – 774. · Zbl 0040.09903 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.