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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 11, Pages 41–45
(Mi ivm8393)
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This article is cited in 4 scientific papers (total in 4 papers)
The structure of dendrites with the periodic point property
E. N. Makhrova Chair of Differential Equations and Mathematical Analysis, Nizhni Novgorod State University, Nizhni Novgorod, Russia
Abstract:
In this paper we study the structure of dendrites with the periodic point property, i.e., dendrites $X$ such that for any continuous map $f\colon X\to X$ and any subcontinuum $Y\subset X$ the condition $Y\subset f(Y)$ implies that $Y$ contains a periodic point of $f$.
Keywords:
dendrite, continuous map, periodic points.
Received: 28.10.2010
Citation:
E. N. Makhrova, “The structure of dendrites with the periodic point property”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 11, 41–45; Russian Math. (Iz. VUZ), 55:11 (2011), 33–37
Linking options:
https://www.mathnet.ru/eng/ivm8393 https://www.mathnet.ru/eng/ivm/y2011/i11/p41
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Abstract page: | 432 | Full-text PDF : | 173 | References: | 90 | First page: | 4 |
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