Скачать или смотреть Metric space aimed at its subspace | Wikipedia audio article

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00:00:33 1 Informal introduction
00:01:56 2 Definitions
00:07:34 3 Properties



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SUMMARY
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In mathematics, a metric space aimed at its subspace is a categorical construction that has a direct geometric meaning. It is also a useful step toward the construction of the metric envelope, or tight span, which are basic (injective) objects of the category of metric spaces.
Following (Holsztyński 1966), a notion of a metric space Y aimed at its subspace X is defined.