Abstract

In 1969, R.H. Bing asked in his paper “The elusive fixed-point property” [2], if each tree-like continuum has the fixed-point property. David Bellamy [1] answered Bing's question in the negative in 1979. He gave an example of a tree-like continuum which admits a fixed point free mapping. We prove in this paper that certain inverse limits of simple n-ods, have the fixed point property. Our theorem generalizes, in the case of simple n-ods, the fixed point theorem in [4].

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