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Title: Compactifications of the ray with the arc as remainder admit no n–mean
Authors: Awartani, Marwan M. 
Henderson, David W. 
Keywords: Compactification of the ray;Essential maps;n-mean;Mean
Issue Date: 1995
Publisher: Proceedings of the American Mathematical Society
Abstract: An n-mean on X is a function F: Xn -+ X which is idempotent and symmetric. In 1970 P. Bacon proved that the sin(l/x) continuum admits no 2-mean. In this paper, it is proved that if X is any metric space which contains an open line one of whose boundary components in X is an arc, then X admits no n-mean, n > 2.
DOI: 10.1090/S0002-9939-1995-1307490-9
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