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- W2077392258 abstract "Following the definition of domination of a topological space X by a metric space M introduced by Cascales, Orihuela and Tkachuk (2011) in [3] , we define a topological cardinal invariant called the metric domination index of a topological space X as minimum of the set { w ( M ) : M is a metric space that dominates X } . This invariant quantifies or measures the concept of M -domination of Cascales et al. (2011) [3] . We prove (in ZFC) that if K is a compact space such that C p ( K ) is strongly dominated by a second countable space then K is countable. This answers a question by the authors of Cascales et al. (2011) [3] ." @default.
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- W2077392258 date "2013-08-01" @default.
- W2077392258 modified "2023-09-25" @default.
- W2077392258 title "Domination by metric spaces" @default.
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- W2077392258 doi "https://doi.org/10.1016/j.topol.2013.06.014" @default.
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