On oscillation of limit functions.
Borsík, J. (1991)
Acta Mathematica Universitatis Comenianae. New Series
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Displaying similar documents to “On the almost monotone convergence of sequences of continuous functions”
On oscillation of limit functions.
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Rosenthal in [11] proved that if is a uniformly bounded sequence of real-valued functions which has no pointwise converging subsequence then has a subsequence which is equivalent to the unit basis of in the supremum norm. Kechris and Louveau in [6] classified the pointwise convergent sequences of continuous real-valued functions, which are defined on a compact metric space, by the aid of a countable ordinal index “”. In this paper we prove some local analogues of the above Rosenthal...