We investigate some fundamental properties of ideal convergence and ideal exhaustiveness of real-valued function sequences, giving some characterizations of continuity of the limit function. Furthermore we establish new versions of Ascoli and Helly-type theorems, giving also some applications in measure theory.
Ascoli-type theorems and ideal alpha-convergence
BOCCUTO, Antonio;
2012
Abstract
We investigate some fundamental properties of ideal convergence and ideal exhaustiveness of real-valued function sequences, giving some characterizations of continuity of the limit function. Furthermore we establish new versions of Ascoli and Helly-type theorems, giving also some applications in measure theory.File in questo prodotto:
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