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Tha main result of this paper is the double sequence analogue of a theorem about cluster points of single sequences that has recently submitted for publication [8]. Namely, we show here that if x is a double sequence then Γx (the set of statistical cluster points of x) equals Γy (the set of statistical cluster points of y) for “almost all” subsequences y of x.

STATISTICAL CLUSTER POINTS OF SUBSEQUENCES OF DOUBLE SEQUENCES