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• W1972195567 abstract "In this paper, we investigate certain networks on free topological groups and free Abelian topological groups and obtain the following: (1) F(X) is a submetrizable, σ-space if and only if X is a submetrizable, σ-space; (2) Let X be a k⁎-metrizable, μ-space. F(X) is a k-space if and only if X is discrete or a k-space with a countable k-network consisting of compact subsets; A(X) is a k-space if and only if X is discrete or a k-space with a star-countable k-network consisting of compact subsets and the non-isolated point set is separable; (3) Suppose that X is a k⁎-metrizable, μ-space, then F4(X) is weakly first-countable if and only if X is discrete or compact; F(X) is a k-space if and only if F10(X) is a k-space." @default.
• W1972195567 created "2016-06-24" @default.
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• W1972195567 date "2015-02-01" @default.
• W1972195567 modified "2023-10-03" @default.
• W1972195567 title "Networks on free topological groups" @default.
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• W1972195567 doi "https://doi.org/10.1016/j.topol.2014.11.016" @default.
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