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• W2761103682 abstract "We study the relation between a space X satisfying certain generalized metric properties (for example, open (G), point-countable base, Collins–Roscoe property, semi-stratifiable, k-semistratifiable, semi-metrizable, scattered, point-countable cs-network, every compact set is metrizable) and its n-fold symmetric product Fn(X) satisfying the same properties. We also show that if X is an M1-space then F(X) is an M1-space, where F(X) is the hyperspace of finite subsets of X. A space X is a paracompact p-space if and only if its 2-fold symmetric product F2(X) is a paracompact p-space. A Tychonoff space X is a Lindelöf Σ-space if and only if its 2-fold symmetric product F2(X) is a Lindelöf Σ-space." @default.
• W2761103682 created "2017-10-20" @default.
• W2761103682 creator A5056121558 @default.
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• W2761103682 date "2017-11-01" @default.
• W2761103682 modified "2023-10-18" @default.
• W2761103682 title "A study on symmetric products of generalized metric spaces" @default.
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• W2761103682 doi "https://doi.org/10.1016/j.topol.2017.09.036" @default.
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