Broughan, Kevin A.2016-05-1619732016-05-161973Broughan, K. A. (1973). Metrization of spaces having Čech dimension zero. Bulletin of the Australian Mathematical Society, 9(2), 161–168. http://doi.org/10.1017/S00049727000430820004-9727https://hdl.handle.net/10289/10240A metrizable topological space has a metric taking values in a closed subset of the real numbers having Čech dimension zero if and only if the space itself has Čech dimension zero. We call a development D = {Dn} for a topological space (X, T) a sieve for X if the sets in each Dn are pairwise disjoint. Then a Hausdorff topological space (X, T) has a compatible metric taking values in a closed subset of the real numbers having Čech dimension zero if and only if there exists a sieve for X. © 1973, Australian Mathematical Society. All rights reserved.application/pdfenCopyright © Australian Mathematical Society 1973Journal Article10.1017/S00049727000430821755-1633