On increasing rapidly varying sequences


The class R∞,s of increasing rapidly varying sequences is investigated in connection with selection principles and game theory. We show that this class satisfies a Rothberger-type selection property as well as a game-theoretical property.

DOI Code: 10.1285/i15900932v27supn1p55

Keywords: Rapidly varying sequence; Rapidly varying function; Numerical function; Selection principle; αi-properties; Infinite game

Classification: 26A12; 54D55; 91A44

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