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

• Datum: 2024
• Hauptverfasser: Sharkovsky, O. M., Шарковський, О. М.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2024
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/8026
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...