Array Convergence of Functions of the Rst Baire-class
نویسنده
چکیده
We show that every array (x(i; j) : 1 i < j < 1) of elements in a point-wise compact subset of the Baire-1 functions on a Polish space, whose iterated pointwise limit lim i lim j x(i; j) exists, is converging Ramsey-uniformly. An array (x(i; j) i<j) in a Hausdorr space T is said to converge Ramsey-uniformly to some x in T , if every subsequence of the positive integers has a further subsequence (m i) such that every open neighborhood U of x in T contains all elements x(m i ; m j) with i < j except for nitely many i.
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تاریخ انتشار 1991