Coexistence of cycles of а continuous mapping of the line into itself

UDC 517.9 Our main result can be formulated as follows:   Consider the set of natural numbers in which the following relation is introduced: $n_1$ precedes $n_2$ $(n_1 \preceq n_2)$ if, for any continuous mappings of the real line into itself, the existence of а cycle...

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Bibliographic Details
Date:2024
Main Authors: Sharkovsky, O. M., Шарковський, О. М.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2024
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8026
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal