Difference between revisions of "Relative metric"
From Encyclopedia of Mathematics
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| − | The restriction of a [[Metric|metric]] | + | {{TEX|done}} |
| + | The restriction of a [[Metric|metric]] $\rho$ to a subset $A$ of a [[Metric space|metric space]] $X$, i.e. the restriction of the mapping $\rho$ of the square $X\times X$ to the square $A\times A\subset X\times X$. This concept permits one to consider any subset of a metric space as a metric space. | ||
Latest revision as of 07:09, 21 April 2012
The restriction of a metric $\rho$ to a subset $A$ of a metric space $X$, i.e. the restriction of the mapping $\rho$ of the square $X\times X$ to the square $A\times A\subset X\times X$. This concept permits one to consider any subset of a metric space as a metric space.
How to Cite This Entry:
Relative metric. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Relative_metric&oldid=15971
Relative metric. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Relative_metric&oldid=15971
This article was adapted from an original article by B.A. Pasynkov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article