Covering Dimension from Large Sets
A. H. Stone · Annals of the New York Academy of Sciences · 1996
ABSTRACT: The notion of “covering dimension” involves coverings by “small enough” sets; how small is “enough” is investigated for the n‐cube and spherical n‐ball. The results are applied to give a partial answer to a question of J. Tišer about the existence of σ‐discrete open covers of metric spaces (X, ρ) in which the n‐th discrete system consists of sets of small diameters.