A Note on a Rothberger-Type Selection Principle and Normalized Rapidly Varying Sequences

Authors:Danica Fatic, Dragan Ðurčić ́

Keywords: normalized rapidly varying sequences, Rothberger, selection principle.

DOI:https://doi.org/10.46793/SPSUNP2502.095F

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Abstract:

In this paper, it is proven that the Rothberger selection hypothesis S1(NR∞,s ,NR∞,s) is valid, where NR∞,s is the class of normalized rapidly varying se- quences in the sense of De Haan.