NON-ISOLATED, NON-STRICTLY MONOTONE POINTS OF ITERATES OF CONTINUOUS FUNCTIONS
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Date
2021
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Publisher
Michigan State University Press
Abstract
There are continuous functions with complicated yet interesting sets of non-isolated non-strictly monotone points. This paper aims to characterize the sets of isolated and non-isolated non-strictly monotone points of the composition of continuous functions. Consequently, an uncountable dense set of measure zero in the real line and whose complement is also uncountable and dense is obtained. © 2021 Michigan State University Press. All rights reserved.
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Keywords
Cantor set, Iterative root, Non-isolated non-strictly monotone points, Non-strictly monotone points, Uncountable Measure zero dense set
Citation
Real Analysis Exchange, 2021, 46, 1, pp. 51-81