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Dal'nevostochnyi Matematicheskii Zhurnal, 2015, Volume 15, Number 2, Pages 192–196 (Mi dvmg308)  
Cluster sets of a convergent sequence of continuous mappings

A. P. Devyatkov

Tyumen State University
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Abstract: It is shown that the full cluster set of the pointwise convergent sequence of continuous mappings from complete metric space $X$ to a metric space $Y$ is degenerate on a residual set of points of $X$.
Key words: cluster set of sequence of functions, continuous convergence, meagre set.
Received: 21.07.2015
Bibliographic databases:
Document Type: Article
UDC: 517.521
MSC: 54C05
Language: Russian
Citation: A. P. Devyatkov, “Cluster sets of a convergent sequence of continuous mappings”, Dal'nevost. Mat. Zh., 15:2 (2015), 192–196
Citation in format AMSBIB
\Bibitem{Dev15}
\by A.~P.~Devyatkov
\paper Cluster sets of a convergent sequence of continuous mappings
\jour Dal'nevost. Mat. Zh.
\yr 2015
\vol 15
\issue 2
\pages 192--196
\mathnet{http://mi.mathnet.ru/dvmg308}
\elib{https://elibrary.ru/item.asp?id=25058093}
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