Electronic Version 16 (1991), 243-251

Terence Wilson

Suppose Y is a compact metric space and T:Y --> Y is continuous. Let L denote the set of cluster points of { Tⁿ x₀ }, x₀ \in Y, and let L' denote the derived set of L. We consider questions, raised in an earlier note, about the cardinality of L \ L' and T L' \ L', and discuss briefly the (non)existence of fixed points of T.

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volume 16: table of contents
topology proceedings Electronic Version