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math.LO2018
Strong measure zero and meager-additive sets through the prism of fractal measures
Ondrej Zindulka
We develop a theory of \emph{sharp measure zero} sets that parallels Borel's \emph{strong measure zero}, and prove a theorem analogous to Galvin-Myscielski-Solovay Theorem, namely…
math.LO2012★ 1 cited
Small sets of reals through the prism of fractal dimensions
Ondrej Zindulka
A separable metric space X is an H-null set if any uniformly continuous image of X has Hausdorff dimension zero. upper H-null, directed P-null and P-null sets are defined likewise,…