Far Eastern Mathematical Journal

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Cluster sets of a convergent sequence of continuous mappings


Devyatkov A.P.

2015, issue 2, P. 192-196


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.

Keywords:
cluster set of sequence of functions, continuous convergence, meagre set

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References

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