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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 11, Pages 41–45 (Mi ivm8393)  

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
Full-text PDF (179 kB) Citations (4)
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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
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 11, Pages 33–37
DOI: https://doi.org/10.3103/S1066369X11110053
Bibliographic databases:
Document Type: Article
UDC: 517.938
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Mak11}
\by E.~N.~Makhrova
\paper The structure of dendrites with the periodic point property
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 11
\pages 41--45
\mathnet{http://mi.mathnet.ru/ivm8393}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2963178}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 11
\pages 33--37
\crossref{https://doi.org/10.3103/S1066369X11110053}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856251847}
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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