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Article

Mizokami, Takemi
On subsets of Alexandroff duplicates. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 1, pp. 125-130
MSC: 54B99, 54E18 | MR 2175864 | Zbl 1121.54024
Keywords:
Alexandroff duplicate; resolution
Summary:
We characterize the subsets of the Alexandroff duplicate which have a G$_\delta$-diagonal and the subsets which are M-spaces in the sense of Morita.
References:
[1] Gruenhage G.: Generalized metric spaces. Handbook of Set-theoretic Topology, North-Holland, 1984, pp.423-501. MR 0776629 | Zbl 0794.54034
[2] Richardson K., Watson S.: Metrisable and discrete special resolutions. Topology Appl. 122 (2002), 605-615. MR 1911703 | Zbl 1024.54006
[3] Watson S.: The construction of topological spaces: Planks and resolutions. Recent Progress in General Topology, North-Holland, Amsterdam, 1992, pp.637-757. MR 1229141 | Zbl 0803.54001
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