Rudin, Mary Ellen A nonmetrizable manifold \(\diamond ^ +\). (English) Zbl 0637.54004 Topology Appl. 28, No. 2, 105-112 (1988). Assuming \(\diamond^+\), a perfectly normal 3-dimensional manifold M is constructed with the property that \(M=\cup_{\alpha <\omega_ 1}M_{\alpha}\) where each \(M_{\alpha}\) is an open connected metric subspace of M with \(\overline{\cup_{\beta <\alpha}M_{\beta}}\subsetneqq M_{\alpha}\). Cited in 3 Documents MSC: 54A35 Consistency and independence results in general topology 57N10 Topology of general \(3\)-manifolds (MSC2010) 54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) 03E45 Inner models, including constructibility, ordinal definability, and core models Keywords:V\(=L\); perfectly normal 3-dimensional manifold PDFBibTeX XMLCite \textit{M. E. Rudin}, Topology Appl. 28, No. 2, 105--112 (1988; Zbl 0637.54004) Full Text: DOI References: [2] Rudin, M. E.; Zenor, P., A perfectly normal nonmetrizable manifold, Houston J. Math., 2, 203-210 (1976) · Zbl 0315.54028 [3] Rudin, M. E., The undecidability of the existence of a perfectly normal nonmetrizable manifold, Houston J. Math., 5, 249-252 (1979) · Zbl 0418.03036 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.