The author for several years has considered two problems: the first involving various gauges of the size of sets of real numbers, and the second, with properties of the class of all subsequences of a given sequence. This work continues the earlier papers connecting these two areas.
"More measure and category questions for subsequences of a given sequence." Rocky Mountain J. Math. 49 (3) 903 - 911, 2019. https://doi.org/10.1216/RMJ-2019-49-3-903