The intersection of a continuum of open dense sets
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This article is published in the Bulletin of the Australian Mathematical Society. Used with permission.
Abstract
It 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.
Citation
Broughan, 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/S0004972700023297