Broughan, Kevin A.2016-07-0319772016-07-031977Broughan, K. A. (1977). The intersection of a continuum of open dense sets. Bulletin of the Australian Mathematical Society, 16(2), 267–272. http://doi.org/10.1017/S00049727000232970004-9727https://hdl.handle.net/10289/10502It is proved that every metrizable topological space without isolated points is the union of a continuum or fewer nowhere dense subsets. © 1977, Australian Mathematical Society. All rights reserved.application/pdfenThis article is published in the Bulletin of the Australian Mathematical Society. Used with permission.Journal Article10.1017/S00049727000232971755-1633