NON-ISOLATED, NON-STRICTLY MONOTONE POINTS OF ITERATES OF CONTINUOUS FUNCTIONS

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dc.contributor.authorMurugan, V.
dc.contributor.authorPalanivel, R.
dc.date.accessioned2026-02-05T09:27:32Z
dc.date.issued2021
dc.description.abstractThere 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.
dc.identifier.citationReal Analysis Exchange, 2021, 46, 1, pp. 51-81
dc.identifier.issn1471937
dc.identifier.urihttps://doi.org/10.14321/realanalexch.46.1.0051
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/23406
dc.publisherMichigan State University Press
dc.subjectCantor set
dc.subjectIterative root
dc.subjectNon-isolated non-strictly monotone points
dc.subjectNon-strictly monotone points
dc.subjectUncountable Measure zero dense set
dc.titleNON-ISOLATED, NON-STRICTLY MONOTONE POINTS OF ITERATES OF CONTINUOUS FUNCTIONS

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