Geodesic
Cluster sets of a convergent sequence of continuous mappings
Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 2, pp. 192-196 
A. P. Devyatkov. Cluster sets of a convergent sequence of continuous mappings. Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 2, pp. 192-196. http://geodesic.mathdoc.fr/item/DVMG_2015_15_2_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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 $X$.

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