Characterizations of spreading models of
Persephone Kiriakouli (2000)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
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...