| dc.contributor.author | Broughan, Kevin A. | en_NZ |
| dc.date.accessioned | 2016-05-16T02:54:12Z | |
| dc.date.available | 1973 | en_NZ |
| dc.date.available | 2016-05-16T02:54:12Z | |
| dc.date.issued | 1973 | en_NZ |
| dc.identifier.citation | Broughan, 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/S0004972700043082 | en |
| dc.identifier.issn | 0004-9727 | en_NZ |
| dc.identifier.uri | https://hdl.handle.net/10289/10240 | |
| dc.description.abstract | A 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. | en_NZ |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | |
| dc.rights | Copyright © Australian Mathematical Society 1973 | |
| dc.title | Metrization of spaces having Čech dimension zero | en_NZ |
| dc.type | Journal Article | |
| dc.identifier.doi | 10.1017/S0004972700043082 | en_NZ |
| dc.relation.isPartOf | Bulletin of the Australian Mathematical Society | en_NZ |
| pubs.begin-page | 161 | |
| pubs.elements-id | 137819 | |
| pubs.end-page | 168 | |
| pubs.issue | 2 | en_NZ |
| pubs.volume | 9 | en_NZ |
| dc.identifier.eissn | 1755-1633 | en_NZ |
