Abstract
R. H. Bing, Amer. Math. Monthly 76 (1969), 119132, utilizes an example of a 1-dimensional arcwise connected continuum X in E3 with the fixed point property. His question (5) asks if XXI has the fixed point property. The answer is yes, and the proof given uses standard techniques of point-set topology. A recent paper of Bing [1] contains a proof that the topological space X shown in the figure has the fixed point property (FPP), where X contains two sin 1/x curves c and f starting from c and f respectively with closures cU [d, e] and JU [a, b], and an expanding spiral h starting at h, with closure 1kU [a, c]UcU [d, f]UJ. All the
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